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Finding the Fourth Proportional to 151.02, 227.88 and 151.02

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Solution

The fourth proportional to 151.02, 227.88 and 151.02 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 227.88 = 151.02 : x
  2. Step 2: Convert to fraction form
    151.02/227.88 = 151.02/x
  3. Step 3: Cross multiply
    151.02x = 227.88 × 151.02
  4. Step 4: Simplify right side
    151.02x = 34,414.44
  5. Step 5: Solve for x
    x = 34,414.44/151.02
  6. Step 6: Final answer
    x = 227.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.