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Finding the Fourth Proportional to 182.59, 251.83 and 116.13

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Solution

The fourth proportional to 182.59, 251.83 and 116.13 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.59 : 251.83 = 116.13 : x
  2. Step 2: Convert to fraction form
    182.59/251.83 = 116.13/x
  3. Step 3: Cross multiply
    182.59x = 251.83 × 116.13
  4. Step 4: Simplify right side
    182.59x = 29,245.02
  5. Step 5: Solve for x
    x = 29,245.02/182.59
  6. Step 6: Final answer
    x = 160.17

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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.