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Finding the Fourth Proportional to 159.84, 241.09 and 140.82

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Solution

The fourth proportional to 159.84, 241.09 and 140.82 is: 212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 241.09 = 140.82 : x
  2. Step 2: Convert to fraction form
    159.84/241.09 = 140.82/x
  3. Step 3: Cross multiply
    159.84x = 241.09 × 140.82
  4. Step 4: Simplify right side
    159.84x = 33,949.94
  5. Step 5: Solve for x
    x = 33,949.94/159.84
  6. Step 6: Final answer
    x = 212.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.