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Finding the Fourth Proportional to 545.48, 817.94 and 180.15

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Solution

The fourth proportional to 545.48, 817.94 and 180.15 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.48 : 817.94 = 180.15 : x
  2. Step 2: Convert to fraction form
    545.48/817.94 = 180.15/x
  3. Step 3: Cross multiply
    545.48x = 817.94 × 180.15
  4. Step 4: Simplify right side
    545.48x = 147,349.27
  5. Step 5: Solve for x
    x = 147,349.27/545.48
  6. Step 6: Final answer
    x = 270.13

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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.