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Finding the Fourth Proportional to 152.30, 227.97 and 113.55

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Solution

The fourth proportional to 152.30, 227.97 and 113.55 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 227.97 = 113.55 : x
  2. Step 2: Convert to fraction form
    152.30/227.97 = 113.55/x
  3. Step 3: Cross multiply
    152.30x = 227.97 × 113.55
  4. Step 4: Simplify right side
    152.30x = 25,885.99
  5. Step 5: Solve for x
    x = 25,885.99/152.30
  6. Step 6: Final answer
    x = 169.97

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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.