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Finding the Fourth Proportional to 185.47, 256.02 and 126.43

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Solution

The fourth proportional to 185.47, 256.02 and 126.43 is: 174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.47 : 256.02 = 126.43 : x
  2. Step 2: Convert to fraction form
    185.47/256.02 = 126.43/x
  3. Step 3: Cross multiply
    185.47x = 256.02 × 126.43
  4. Step 4: Simplify right side
    185.47x = 32,368.61
  5. Step 5: Solve for x
    x = 32,368.61/185.47
  6. Step 6: Final answer
    x = 174.52

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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.