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Finding the Fourth Proportional to 332.14, 458.06 and 207.66

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Solution

The fourth proportional to 332.14, 458.06 and 207.66 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.14 : 458.06 = 207.66 : x
  2. Step 2: Convert to fraction form
    332.14/458.06 = 207.66/x
  3. Step 3: Cross multiply
    332.14x = 458.06 × 207.66
  4. Step 4: Simplify right side
    332.14x = 95,120.74
  5. Step 5: Solve for x
    x = 95,120.74/332.14
  6. Step 6: Final answer
    x = 286.39

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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.