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Finding the Fourth Proportional to 149.88, 226.13 and 149.48

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Solution

The fourth proportional to 149.88, 226.13 and 149.48 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.88 : 226.13 = 149.48 : x
  2. Step 2: Convert to fraction form
    149.88/226.13 = 149.48/x
  3. Step 3: Cross multiply
    149.88x = 226.13 × 149.48
  4. Step 4: Simplify right side
    149.88x = 33,801.91
  5. Step 5: Solve for x
    x = 33,801.91/149.88
  6. Step 6: Final answer
    x = 225.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.