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Finding the Fourth Proportional to 372.97, 514.71 and 207.19

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Solution

The fourth proportional to 372.97, 514.71 and 207.19 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.97 : 514.71 = 207.19 : x
  2. Step 2: Convert to fraction form
    372.97/514.71 = 207.19/x
  3. Step 3: Cross multiply
    372.97x = 514.71 × 207.19
  4. Step 4: Simplify right side
    372.97x = 106,642.76
  5. Step 5: Solve for x
    x = 106,642.76/372.97
  6. Step 6: Final answer
    x = 285.93

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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.