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Finding the Fourth Proportional to 184.38, 254.02 and 129.02

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Solution

The fourth proportional to 184.38, 254.02 and 129.02 is: 177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.38 : 254.02 = 129.02 : x
  2. Step 2: Convert to fraction form
    184.38/254.02 = 129.02/x
  3. Step 3: Cross multiply
    184.38x = 254.02 × 129.02
  4. Step 4: Simplify right side
    184.38x = 32,773.66
  5. Step 5: Solve for x
    x = 32,773.66/184.38
  6. Step 6: Final answer
    x = 177.75

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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.