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Finding the Fourth Proportional to 296.27, 408.47 and 191.17

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Solution

The fourth proportional to 296.27, 408.47 and 191.17 is: 263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.27 : 408.47 = 191.17 : x
  2. Step 2: Convert to fraction form
    296.27/408.47 = 191.17/x
  3. Step 3: Cross multiply
    296.27x = 408.47 × 191.17
  4. Step 4: Simplify right side
    296.27x = 78,087.21
  5. Step 5: Solve for x
    x = 78,087.21/296.27
  6. Step 6: Final answer
    x = 263.57

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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.