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Finding the Fourth Proportional to 151.32, 225.45 and 149.80

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Solution

The fourth proportional to 151.32, 225.45 and 149.80 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.32 : 225.45 = 149.80 : x
  2. Step 2: Convert to fraction form
    151.32/225.45 = 149.80/x
  3. Step 3: Cross multiply
    151.32x = 225.45 × 149.80
  4. Step 4: Simplify right side
    151.32x = 33,771.85
  5. Step 5: Solve for x
    x = 33,771.85/151.32
  6. Step 6: Final answer
    x = 223.19

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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.