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Finding the Fourth Proportional to 185.67, 256.24 and 112.02

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Solution

The fourth proportional to 185.67, 256.24 and 112.02 is: 154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 256.24 = 112.02 : x
  2. Step 2: Convert to fraction form
    185.67/256.24 = 112.02/x
  3. Step 3: Cross multiply
    185.67x = 256.24 × 112.02
  4. Step 4: Simplify right side
    185.67x = 28,704.00
  5. Step 5: Solve for x
    x = 28,704.00/185.67
  6. Step 6: Final answer
    x = 154.60

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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.