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Finding the Fourth Proportional to 191.80, 264.67 and 160.66

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Solution

The fourth proportional to 191.80, 264.67 and 160.66 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.80 : 264.67 = 160.66 : x
  2. Step 2: Convert to fraction form
    191.80/264.67 = 160.66/x
  3. Step 3: Cross multiply
    191.80x = 264.67 × 160.66
  4. Step 4: Simplify right side
    191.80x = 42,521.88
  5. Step 5: Solve for x
    x = 42,521.88/191.80
  6. Step 6: Final answer
    x = 221.70

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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.