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Finding the Fourth Proportional to 159.05, 237.68 and 150.27

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Solution

The fourth proportional to 159.05, 237.68 and 150.27 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.05 : 237.68 = 150.27 : x
  2. Step 2: Convert to fraction form
    159.05/237.68 = 150.27/x
  3. Step 3: Cross multiply
    159.05x = 237.68 × 150.27
  4. Step 4: Simplify right side
    159.05x = 35,715.42
  5. Step 5: Solve for x
    x = 35,715.42/159.05
  6. Step 6: Final answer
    x = 224.56

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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.