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Finding the Fourth Proportional to 191.85, 264.71 and 113.15

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Solution

The fourth proportional to 191.85, 264.71 and 113.15 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.85 : 264.71 = 113.15 : x
  2. Step 2: Convert to fraction form
    191.85/264.71 = 113.15/x
  3. Step 3: Cross multiply
    191.85x = 264.71 × 113.15
  4. Step 4: Simplify right side
    191.85x = 29,950.61
  5. Step 5: Solve for x
    x = 29,950.61/191.85
  6. Step 6: Final answer
    x = 156.11

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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.