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Finding the Fourth Proportional to 152.47, 227.42 and 148.87

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Solution

The fourth proportional to 152.47, 227.42 and 148.87 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.47 : 227.42 = 148.87 : x
  2. Step 2: Convert to fraction form
    152.47/227.42 = 148.87/x
  3. Step 3: Cross multiply
    152.47x = 227.42 × 148.87
  4. Step 4: Simplify right side
    152.47x = 33,854.88
  5. Step 5: Solve for x
    x = 33,854.88/152.47
  6. Step 6: Final answer
    x = 222.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.