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Finding the Fourth Proportional to 153.92, 229.80 and 132.26

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Solution

The fourth proportional to 153.92, 229.80 and 132.26 is: 197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 229.80 = 132.26 : x
  2. Step 2: Convert to fraction form
    153.92/229.80 = 132.26/x
  3. Step 3: Cross multiply
    153.92x = 229.80 × 132.26
  4. Step 4: Simplify right side
    153.92x = 30,392.69
  5. Step 5: Solve for x
    x = 30,392.69/153.92
  6. Step 6: Final answer
    x = 197.46

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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.