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Finding the Fourth Proportional to 331.86, 497.52 and 177.57

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Solution

The fourth proportional to 331.86, 497.52 and 177.57 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.86 : 497.52 = 177.57 : x
  2. Step 2: Convert to fraction form
    331.86/497.52 = 177.57/x
  3. Step 3: Cross multiply
    331.86x = 497.52 × 177.57
  4. Step 4: Simplify right side
    331.86x = 88,344.63
  5. Step 5: Solve for x
    x = 88,344.63/331.86
  6. Step 6: Final answer
    x = 266.21

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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.