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Finding the Fourth Proportional to 545.07, 817.64 and 180.11

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Solution

The fourth proportional to 545.07, 817.64 and 180.11 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.07 : 817.64 = 180.11 : x
  2. Step 2: Convert to fraction form
    545.07/817.64 = 180.11/x
  3. Step 3: Cross multiply
    545.07x = 817.64 × 180.11
  4. Step 4: Simplify right side
    545.07x = 147,265.09
  5. Step 5: Solve for x
    x = 147,265.09/545.07
  6. Step 6: Final answer
    x = 270.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.