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Finding the Fourth Proportional to 150.02, 225.12 and 137.78

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Solution

The fourth proportional to 150.02, 225.12 and 137.78 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.02 : 225.12 = 137.78 : x
  2. Step 2: Convert to fraction form
    150.02/225.12 = 137.78/x
  3. Step 3: Cross multiply
    150.02x = 225.12 × 137.78
  4. Step 4: Simplify right side
    150.02x = 31,017.03
  5. Step 5: Solve for x
    x = 31,017.03/150.02
  6. Step 6: Final answer
    x = 206.75

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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.