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Finding the Fourth Proportional to 151.44, 227.10 and 111.12

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Solution

The fourth proportional to 151.44, 227.10 and 111.12 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.44 : 227.10 = 111.12 : x
  2. Step 2: Convert to fraction form
    151.44/227.10 = 111.12/x
  3. Step 3: Cross multiply
    151.44x = 227.10 × 111.12
  4. Step 4: Simplify right side
    151.44x = 25,235.35
  5. Step 5: Solve for x
    x = 25,235.35/151.44
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.