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Finding the Fourth Proportional to 159.59, 237.89 and 142.15

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Solution

The fourth proportional to 159.59, 237.89 and 142.15 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.59 : 237.89 = 142.15 : x
  2. Step 2: Convert to fraction form
    159.59/237.89 = 142.15/x
  3. Step 3: Cross multiply
    159.59x = 237.89 × 142.15
  4. Step 4: Simplify right side
    159.59x = 33,816.06
  5. Step 5: Solve for x
    x = 33,816.06/159.59
  6. Step 6: Final answer
    x = 211.89

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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.