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Finding the Fourth Proportional to 184.52, 254.33 and 129.16

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Solution

The fourth proportional to 184.52, 254.33 and 129.16 is: 178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.52 : 254.33 = 129.16 : x
  2. Step 2: Convert to fraction form
    184.52/254.33 = 129.16/x
  3. Step 3: Cross multiply
    184.52x = 254.33 × 129.16
  4. Step 4: Simplify right side
    184.52x = 32,849.42
  5. Step 5: Solve for x
    x = 32,849.42/184.52
  6. Step 6: Final answer
    x = 178.02

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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.