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Finding the Fourth Proportional to 185.52, 256.04 and 111.86

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Solution

The fourth proportional to 185.52, 256.04 and 111.86 is: 154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 256.04 = 111.86 : x
  2. Step 2: Convert to fraction form
    185.52/256.04 = 111.86/x
  3. Step 3: Cross multiply
    185.52x = 256.04 × 111.86
  4. Step 4: Simplify right side
    185.52x = 28,640.63
  5. Step 5: Solve for x
    x = 28,640.63/185.52
  6. Step 6: Final answer
    x = 154.38

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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.