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Finding the Fourth Proportional to 159.11, 237.77 and 150.33

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Solution

The fourth proportional to 159.11, 237.77 and 150.33 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.11 : 237.77 = 150.33 : x
  2. Step 2: Convert to fraction form
    159.11/237.77 = 150.33/x
  3. Step 3: Cross multiply
    159.11x = 237.77 × 150.33
  4. Step 4: Simplify right side
    159.11x = 35,743.96
  5. Step 5: Solve for x
    x = 35,743.96/159.11
  6. Step 6: Final answer
    x = 224.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.