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Finding the Fourth Proportional to 159, 219.47 and 140.64

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Solution

The fourth proportional to 159, 219.47 and 140.64 is: 194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 219.47 = 140.64 : x
  2. Step 2: Convert to fraction form
    159/219.47 = 140.64/x
  3. Step 3: Cross multiply
    159x = 219.47 × 140.64
  4. Step 4: Simplify right side
    159x = 30,865.56
  5. Step 5: Solve for x
    x = 30,865.56/159
  6. Step 6: Final answer
    x = 194.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.