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Finding the Fourth Proportional to 181.81, 250.86 and 116.30

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Solution

The fourth proportional to 181.81, 250.86 and 116.30 is: 160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.81 : 250.86 = 116.30 : x
  2. Step 2: Convert to fraction form
    181.81/250.86 = 116.30/x
  3. Step 3: Cross multiply
    181.81x = 250.86 × 116.30
  4. Step 4: Simplify right side
    181.81x = 29,174.27
  5. Step 5: Solve for x
    x = 29,174.27/181.81
  6. Step 6: Final answer
    x = 160.47

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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.