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Finding the Fourth Proportional to 152.52, 227.26 and 147.61

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Solution

The fourth proportional to 152.52, 227.26 and 147.61 is: 219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 227.26 = 147.61 : x
  2. Step 2: Convert to fraction form
    152.52/227.26 = 147.61/x
  3. Step 3: Cross multiply
    152.52x = 227.26 × 147.61
  4. Step 4: Simplify right side
    152.52x = 33,545.85
  5. Step 5: Solve for x
    x = 33,545.85/152.52
  6. Step 6: Final answer
    x = 219.94

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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.