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Finding the Fourth Proportional to 296.14, 408.82 and 191.29

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Solution

The fourth proportional to 296.14, 408.82 and 191.29 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 408.82 = 191.29 : x
  2. Step 2: Convert to fraction form
    296.14/408.82 = 191.29/x
  3. Step 3: Cross multiply
    296.14x = 408.82 × 191.29
  4. Step 4: Simplify right side
    296.14x = 78,203.18
  5. Step 5: Solve for x
    x = 78,203.18/296.14
  6. Step 6: Final answer
    x = 264.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.