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Finding the Fourth Proportional to 150.85, 225.66 and 125.22

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Solution

The fourth proportional to 150.85, 225.66 and 125.22 is: 187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.85 : 225.66 = 125.22 : x
  2. Step 2: Convert to fraction form
    150.85/225.66 = 125.22/x
  3. Step 3: Cross multiply
    150.85x = 225.66 × 125.22
  4. Step 4: Simplify right side
    150.85x = 28,258.46
  5. Step 5: Solve for x
    x = 28,258.46/150.85
  6. Step 6: Final answer
    x = 187.33

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