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Finding the Fourth Proportional to 362.57, 543.87 and 146.13

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Solution

The fourth proportional to 362.57, 543.87 and 146.13 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.57 : 543.87 = 146.13 : x
  2. Step 2: Convert to fraction form
    362.57/543.87 = 146.13/x
  3. Step 3: Cross multiply
    362.57x = 543.87 × 146.13
  4. Step 4: Simplify right side
    362.57x = 79,472.27
  5. Step 5: Solve for x
    x = 79,472.27/362.57
  6. Step 6: Final answer
    x = 219.19

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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.