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Finding the Fourth Proportional to 331.86, 458.16 and 207.63

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Solution

The fourth proportional to 331.86, 458.16 and 207.63 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.86 : 458.16 = 207.63 : x
  2. Step 2: Convert to fraction form
    331.86/458.16 = 207.63/x
  3. Step 3: Cross multiply
    331.86x = 458.16 × 207.63
  4. Step 4: Simplify right side
    331.86x = 95,127.76
  5. Step 5: Solve for x
    x = 95,127.76/331.86
  6. Step 6: Final answer
    x = 286.65

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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.