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Finding the Fourth Proportional to 331.28, 497.06 and 177.20

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Solution

The fourth proportional to 331.28, 497.06 and 177.20 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.28 : 497.06 = 177.20 : x
  2. Step 2: Convert to fraction form
    331.28/497.06 = 177.20/x
  3. Step 3: Cross multiply
    331.28x = 497.06 × 177.20
  4. Step 4: Simplify right side
    331.28x = 88,079.03
  5. Step 5: Solve for x
    x = 88,079.03/331.28
  6. Step 6: Final answer
    x = 265.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.