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Finding the Fourth Proportional to 149.98, 225.78 and 135.09

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Solution

The fourth proportional to 149.98, 225.78 and 135.09 is: 203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.98 : 225.78 = 135.09 : x
  2. Step 2: Convert to fraction form
    149.98/225.78 = 135.09/x
  3. Step 3: Cross multiply
    149.98x = 225.78 × 135.09
  4. Step 4: Simplify right side
    149.98x = 30,500.62
  5. Step 5: Solve for x
    x = 30,500.62/149.98
  6. Step 6: Final answer
    x = 203.36

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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.