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Finding the Fourth Proportional to 291.92, 402.80 and 160.92

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Solution

The fourth proportional to 291.92, 402.80 and 160.92 is: 222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.92 : 402.80 = 160.92 : x
  2. Step 2: Convert to fraction form
    291.92/402.80 = 160.92/x
  3. Step 3: Cross multiply
    291.92x = 402.80 × 160.92
  4. Step 4: Simplify right side
    291.92x = 64,817.77
  5. Step 5: Solve for x
    x = 64,817.77/291.92
  6. Step 6: Final answer
    x = 222.04

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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.