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Finding the Fourth Proportional to 150.66, 227.10 and 141.85

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Solution

The fourth proportional to 150.66, 227.10 and 141.85 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 227.10 = 141.85 : x
  2. Step 2: Convert to fraction form
    150.66/227.10 = 141.85/x
  3. Step 3: Cross multiply
    150.66x = 227.10 × 141.85
  4. Step 4: Simplify right side
    150.66x = 32,214.95
  5. Step 5: Solve for x
    x = 32,214.95/150.66
  6. Step 6: Final answer
    x = 213.83

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