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Finding the Fourth Proportional to 182.81, 252.15 and 116.42

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Solution

The fourth proportional to 182.81, 252.15 and 116.42 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 252.15 = 116.42 : x
  2. Step 2: Convert to fraction form
    182.81/252.15 = 116.42/x
  3. Step 3: Cross multiply
    182.81x = 252.15 × 116.42
  4. Step 4: Simplify right side
    182.81x = 29,354.04
  5. Step 5: Solve for x
    x = 29,354.04/182.81
  6. Step 6: Final answer
    x = 160.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.