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Finding the Fourth Proportional to 181.86, 272.58 and 116.65

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Solution

The fourth proportional to 181.86, 272.58 and 116.65 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 272.58 = 116.65 : x
  2. Step 2: Convert to fraction form
    181.86/272.58 = 116.65/x
  3. Step 3: Cross multiply
    181.86x = 272.58 × 116.65
  4. Step 4: Simplify right side
    181.86x = 31,796.46
  5. Step 5: Solve for x
    x = 31,796.46/181.86
  6. Step 6: Final answer
    x = 174.85

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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.