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Finding the Fourth Proportional to 291.82, 402.71 and 160.83

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Solution

The fourth proportional to 291.82, 402.71 and 160.83 is: 221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.82 : 402.71 = 160.83 : x
  2. Step 2: Convert to fraction form
    291.82/402.71 = 160.83/x
  3. Step 3: Cross multiply
    291.82x = 402.71 × 160.83
  4. Step 4: Simplify right side
    291.82x = 64,765.03
  5. Step 5: Solve for x
    x = 64,765.03/291.82
  6. Step 6: Final answer
    x = 221.93

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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.