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Finding the Fourth Proportional to 372.94, 514.63 and 207.15

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Solution

The fourth proportional to 372.94, 514.63 and 207.15 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.94 : 514.63 = 207.15 : x
  2. Step 2: Convert to fraction form
    372.94/514.63 = 207.15/x
  3. Step 3: Cross multiply
    372.94x = 514.63 × 207.15
  4. Step 4: Simplify right side
    372.94x = 106,604.57
  5. Step 5: Solve for x
    x = 106,604.57/372.94
  6. Step 6: Final answer
    x = 285.85

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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.