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Finding the Fourth Proportional to 152.40, 227.26 and 132.96

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Solution

The fourth proportional to 152.40, 227.26 and 132.96 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 227.26 = 132.96 : x
  2. Step 2: Convert to fraction form
    152.40/227.26 = 132.96/x
  3. Step 3: Cross multiply
    152.40x = 227.26 × 132.96
  4. Step 4: Simplify right side
    152.40x = 30,216.49
  5. Step 5: Solve for x
    x = 30,216.49/152.40
  6. Step 6: Final answer
    x = 198.27

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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.