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Finding the Fourth Proportional to 331.76, 497.22 and 177.75

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Solution

The fourth proportional to 331.76, 497.22 and 177.75 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.76 : 497.22 = 177.75 : x
  2. Step 2: Convert to fraction form
    331.76/497.22 = 177.75/x
  3. Step 3: Cross multiply
    331.76x = 497.22 × 177.75
  4. Step 4: Simplify right side
    331.76x = 88,380.19
  5. Step 5: Solve for x
    x = 88,380.19/331.76
  6. Step 6: Final answer
    x = 266.40

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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.