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Finding the Fourth Proportional to 185.84, 256.50 and 112.16

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Solution

The fourth proportional to 185.84, 256.50 and 112.16 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 256.50 = 112.16 : x
  2. Step 2: Convert to fraction form
    185.84/256.50 = 112.16/x
  3. Step 3: Cross multiply
    185.84x = 256.50 × 112.16
  4. Step 4: Simplify right side
    185.84x = 28,769.04
  5. Step 5: Solve for x
    x = 28,769.04/185.84
  6. Step 6: Final answer
    x = 154.81

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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.