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Finding the Fourth Proportional to 514.61, 772.04 and 149.42

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Solution

The fourth proportional to 514.61, 772.04 and 149.42 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.61 : 772.04 = 149.42 : x
  2. Step 2: Convert to fraction form
    514.61/772.04 = 149.42/x
  3. Step 3: Cross multiply
    514.61x = 772.04 × 149.42
  4. Step 4: Simplify right side
    514.61x = 115,353.61
  5. Step 5: Solve for x
    x = 115,353.61/514.61
  6. Step 6: Final answer
    x = 224.16

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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.