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Finding the Fourth Proportional to 291.88, 402.78 and 159.09

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Solution

The fourth proportional to 291.88, 402.78 and 159.09 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 402.78 = 159.09 : x
  2. Step 2: Convert to fraction form
    291.88/402.78 = 159.09/x
  3. Step 3: Cross multiply
    291.88x = 402.78 × 159.09
  4. Step 4: Simplify right side
    291.88x = 64,078.73
  5. Step 5: Solve for x
    x = 64,078.73/291.88
  6. Step 6: Final answer
    x = 219.54

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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.