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Finding the Fourth Proportional to 514.94, 772.52 and 149.72

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Solution

The fourth proportional to 514.94, 772.52 and 149.72 is: 224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 772.52 = 149.72 : x
  2. Step 2: Convert to fraction form
    514.94/772.52 = 149.72/x
  3. Step 3: Cross multiply
    514.94x = 772.52 × 149.72
  4. Step 4: Simplify right side
    514.94x = 115,661.69
  5. Step 5: Solve for x
    x = 115,661.69/514.94
  6. Step 6: Final answer
    x = 224.61

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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.