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Finding the Fourth Proportional to 150.88, 225.76 and 137.44

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Solution

The fourth proportional to 150.88, 225.76 and 137.44 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.88 : 225.76 = 137.44 : x
  2. Step 2: Convert to fraction form
    150.88/225.76 = 137.44/x
  3. Step 3: Cross multiply
    150.88x = 225.76 × 137.44
  4. Step 4: Simplify right side
    150.88x = 31,028.45
  5. Step 5: Solve for x
    x = 31,028.45/150.88
  6. Step 6: Final answer
    x = 205.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.