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Finding the Fourth Proportional to 372.13, 513.48 and 224.77

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Solution

The fourth proportional to 372.13, 513.48 and 224.77 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.13 : 513.48 = 224.77 : x
  2. Step 2: Convert to fraction form
    372.13/513.48 = 224.77/x
  3. Step 3: Cross multiply
    372.13x = 513.48 × 224.77
  4. Step 4: Simplify right side
    372.13x = 115,414.90
  5. Step 5: Solve for x
    x = 115,414.90/372.13
  6. Step 6: Final answer
    x = 310.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.