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Finding the Fourth Proportional to 332.03, 458.16 and 207.64

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Solution

The fourth proportional to 332.03, 458.16 and 207.64 is: 286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.03 : 458.16 = 207.64 : x
  2. Step 2: Convert to fraction form
    332.03/458.16 = 207.64/x
  3. Step 3: Cross multiply
    332.03x = 458.16 × 207.64
  4. Step 4: Simplify right side
    332.03x = 95,132.34
  5. Step 5: Solve for x
    x = 95,132.34/332.03
  6. Step 6: Final answer
    x = 286.52

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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.