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Finding the Fourth Proportional to 184.64, 254.74 and 126.52

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Solution

The fourth proportional to 184.64, 254.74 and 126.52 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 254.74 = 126.52 : x
  2. Step 2: Convert to fraction form
    184.64/254.74 = 126.52/x
  3. Step 3: Cross multiply
    184.64x = 254.74 × 126.52
  4. Step 4: Simplify right side
    184.64x = 32,229.70
  5. Step 5: Solve for x
    x = 32,229.70/184.64
  6. Step 6: Final answer
    x = 174.55

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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.