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Finding the Fourth Proportional to 363.16, 501.10 and 207.92

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Solution

The fourth proportional to 363.16, 501.10 and 207.92 is: 286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 501.10 = 207.92 : x
  2. Step 2: Convert to fraction form
    363.16/501.10 = 207.92/x
  3. Step 3: Cross multiply
    363.16x = 501.10 × 207.92
  4. Step 4: Simplify right side
    363.16x = 104,188.71
  5. Step 5: Solve for x
    x = 104,188.71/363.16
  6. Step 6: Final answer
    x = 286.89

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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.