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Finding the Fourth Proportional to 191.43, 264.20 and 160.29

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Solution

The fourth proportional to 191.43, 264.20 and 160.29 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.43 : 264.20 = 160.29 : x
  2. Step 2: Convert to fraction form
    191.43/264.20 = 160.29/x
  3. Step 3: Cross multiply
    191.43x = 264.20 × 160.29
  4. Step 4: Simplify right side
    191.43x = 42,347.82
  5. Step 5: Solve for x
    x = 42,347.82/191.43
  6. Step 6: Final answer
    x = 221.22

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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.