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Finding the Fourth Proportional to 191.65, 264.42 and 112.94

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Solution

The fourth proportional to 191.65, 264.42 and 112.94 is: 155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.65 : 264.42 = 112.94 : x
  2. Step 2: Convert to fraction form
    191.65/264.42 = 112.94/x
  3. Step 3: Cross multiply
    191.65x = 264.42 × 112.94
  4. Step 4: Simplify right side
    191.65x = 29,862.27
  5. Step 5: Solve for x
    x = 29,862.27/191.65
  6. Step 6: Final answer
    x = 155.82

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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.