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Finding the Fourth Proportional to 191.43, 263.68 and 160.34

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Solution

The fourth proportional to 191.43, 263.68 and 160.34 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.43 : 263.68 = 160.34 : x
  2. Step 2: Convert to fraction form
    191.43/263.68 = 160.34/x
  3. Step 3: Cross multiply
    191.43x = 263.68 × 160.34
  4. Step 4: Simplify right side
    191.43x = 42,276.73
  5. Step 5: Solve for x
    x = 42,276.73/191.43
  6. Step 6: Final answer
    x = 220.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.