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Finding the Fourth Proportional to 545.16, 817.84 and 180.06

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Solution

The fourth proportional to 545.16, 817.84 and 180.06 is: 270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 817.84 = 180.06 : x
  2. Step 2: Convert to fraction form
    545.16/817.84 = 180.06/x
  3. Step 3: Cross multiply
    545.16x = 817.84 × 180.06
  4. Step 4: Simplify right side
    545.16x = 147,260.27
  5. Step 5: Solve for x
    x = 147,260.27/545.16
  6. Step 6: Final answer
    x = 270.12

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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.