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Finding the Fourth Proportional to 176.31, 243.31 and 101.59

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Solution

The fourth proportional to 176.31, 243.31 and 101.59 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 243.31 = 101.59 : x
  2. Step 2: Convert to fraction form
    176.31/243.31 = 101.59/x
  3. Step 3: Cross multiply
    176.31x = 243.31 × 101.59
  4. Step 4: Simplify right side
    176.31x = 24,717.98
  5. Step 5: Solve for x
    x = 24,717.98/176.31
  6. Step 6: Final answer
    x = 140.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.