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Finding the Fourth Proportional to 152.62, 229.12 and 127.25

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Solution

The fourth proportional to 152.62, 229.12 and 127.25 is: 191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.62 : 229.12 = 127.25 : x
  2. Step 2: Convert to fraction form
    152.62/229.12 = 127.25/x
  3. Step 3: Cross multiply
    152.62x = 229.12 × 127.25
  4. Step 4: Simplify right side
    152.62x = 29,155.52
  5. Step 5: Solve for x
    x = 29,155.52/152.62
  6. Step 6: Final answer
    x = 191.03

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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.