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Finding the Fourth Proportional to 176.18, 243.12 and 101.48

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Solution

The fourth proportional to 176.18, 243.12 and 101.48 is: 140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.18 : 243.12 = 101.48 : x
  2. Step 2: Convert to fraction form
    176.18/243.12 = 101.48/x
  3. Step 3: Cross multiply
    176.18x = 243.12 × 101.48
  4. Step 4: Simplify right side
    176.18x = 24,671.82
  5. Step 5: Solve for x
    x = 24,671.82/176.18
  6. Step 6: Final answer
    x = 140.04

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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.