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Finding the Fourth Proportional to 152.22, 227.97 and 142.70

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Solution

The fourth proportional to 152.22, 227.97 and 142.70 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 227.97 = 142.70 : x
  2. Step 2: Convert to fraction form
    152.22/227.97 = 142.70/x
  3. Step 3: Cross multiply
    152.22x = 227.97 × 142.70
  4. Step 4: Simplify right side
    152.22x = 32,531.46
  5. Step 5: Solve for x
    x = 32,531.46/152.22
  6. Step 6: Final answer
    x = 213.72

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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.