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Finding the Fourth Proportional to 185.49, 256.00 and 111.81

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Solution

The fourth proportional to 185.49, 256.00 and 111.81 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 256.00 = 111.81 : x
  2. Step 2: Convert to fraction form
    185.49/256.00 = 111.81/x
  3. Step 3: Cross multiply
    185.49x = 256.00 × 111.81
  4. Step 4: Simplify right side
    185.49x = 28,623.08
  5. Step 5: Solve for x
    x = 28,623.08/185.49
  6. Step 6: Final answer
    x = 154.31

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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.