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Finding the Fourth Proportional to 184.88, 254.80 and 129.53

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Solution

The fourth proportional to 184.88, 254.80 and 129.53 is: 178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.88 : 254.80 = 129.53 : x
  2. Step 2: Convert to fraction form
    184.88/254.80 = 129.53/x
  3. Step 3: Cross multiply
    184.88x = 254.80 × 129.53
  4. Step 4: Simplify right side
    184.88x = 33,004.31
  5. Step 5: Solve for x
    x = 33,004.31/184.88
  6. Step 6: Final answer
    x = 178.52

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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.