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Finding the Fourth Proportional to 182.53, 251.75 and 117.04

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Solution

The fourth proportional to 182.53, 251.75 and 117.04 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.53 : 251.75 = 117.04 : x
  2. Step 2: Convert to fraction form
    182.53/251.75 = 117.04/x
  3. Step 3: Cross multiply
    182.53x = 251.75 × 117.04
  4. Step 4: Simplify right side
    182.53x = 29,466.20
  5. Step 5: Solve for x
    x = 29,466.20/182.53
  6. Step 6: Final answer
    x = 161.43

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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.