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Finding the Fourth Proportional to 185.15, 255.40 and 111.42

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Solution

The fourth proportional to 185.15, 255.40 and 111.42 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.15 : 255.40 = 111.42 : x
  2. Step 2: Convert to fraction form
    185.15/255.40 = 111.42/x
  3. Step 3: Cross multiply
    185.15x = 255.40 × 111.42
  4. Step 4: Simplify right side
    185.15x = 28,456.11
  5. Step 5: Solve for x
    x = 28,456.11/185.15
  6. Step 6: Final answer
    x = 153.70

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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.