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Finding the Fourth Proportional to 181.28, 272.10 and 141.14

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Solution

The fourth proportional to 181.28, 272.10 and 141.14 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 272.10 = 141.14 : x
  2. Step 2: Convert to fraction form
    181.28/272.10 = 141.14/x
  3. Step 3: Cross multiply
    181.28x = 272.10 × 141.14
  4. Step 4: Simplify right side
    181.28x = 38,404.19
  5. Step 5: Solve for x
    x = 38,404.19/181.28
  6. Step 6: Final answer
    x = 211.85

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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.