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Finding the Fourth Proportional to 185.74, 256.32 and 112.06

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Solution

The fourth proportional to 185.74, 256.32 and 112.06 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 256.32 = 112.06 : x
  2. Step 2: Convert to fraction form
    185.74/256.32 = 112.06/x
  3. Step 3: Cross multiply
    185.74x = 256.32 × 112.06
  4. Step 4: Simplify right side
    185.74x = 28,723.22
  5. Step 5: Solve for x
    x = 28,723.22/185.74
  6. Step 6: Final answer
    x = 154.64

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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.