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Finding the Fourth Proportional to 291.96, 402.90 and 160.97

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Solution

The fourth proportional to 291.96, 402.90 and 160.97 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 402.90 = 160.97 : x
  2. Step 2: Convert to fraction form
    291.96/402.90 = 160.97/x
  3. Step 3: Cross multiply
    291.96x = 402.90 × 160.97
  4. Step 4: Simplify right side
    291.96x = 64,852.80
  5. Step 5: Solve for x
    x = 64,852.80/291.96
  6. Step 6: Final answer
    x = 222.13

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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.