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Finding the Fourth Proportional to 545.19, 817.85 and 180.21

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Solution

The fourth proportional to 545.19, 817.85 and 180.21 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.19 : 817.85 = 180.21 : x
  2. Step 2: Convert to fraction form
    545.19/817.85 = 180.21/x
  3. Step 3: Cross multiply
    545.19x = 817.85 × 180.21
  4. Step 4: Simplify right side
    545.19x = 147,384.75
  5. Step 5: Solve for x
    x = 147,384.75/545.19
  6. Step 6: Final answer
    x = 270.34

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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.