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Finding the Fourth Proportional to 181.24, 250.28 and 115.88

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Solution

The fourth proportional to 181.24, 250.28 and 115.88 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 250.28 = 115.88 : x
  2. Step 2: Convert to fraction form
    181.24/250.28 = 115.88/x
  3. Step 3: Cross multiply
    181.24x = 250.28 × 115.88
  4. Step 4: Simplify right side
    181.24x = 29,002.45
  5. Step 5: Solve for x
    x = 29,002.45/181.24
  6. Step 6: Final answer
    x = 160.02

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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.