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Finding the Fourth Proportional to 159.42, 219.81 and 140.93

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Solution

The fourth proportional to 159.42, 219.81 and 140.93 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 219.81 = 140.93 : x
  2. Step 2: Convert to fraction form
    159.42/219.81 = 140.93/x
  3. Step 3: Cross multiply
    159.42x = 219.81 × 140.93
  4. Step 4: Simplify right side
    159.42x = 30,977.82
  5. Step 5: Solve for x
    x = 30,977.82/159.42
  6. Step 6: Final answer
    x = 194.32

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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.