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Finding the Fourth Proportional to 332.38, 497.71 and 170.14

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Solution

The fourth proportional to 332.38, 497.71 and 170.14 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.38 : 497.71 = 170.14 : x
  2. Step 2: Convert to fraction form
    332.38/497.71 = 170.14/x
  3. Step 3: Cross multiply
    332.38x = 497.71 × 170.14
  4. Step 4: Simplify right side
    332.38x = 84,680.38
  5. Step 5: Solve for x
    x = 84,680.38/332.38
  6. Step 6: Final answer
    x = 254.77

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