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Finding the Fourth Proportional to 296.19, 408.19 and 213.15

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Solution

The fourth proportional to 296.19, 408.19 and 213.15 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.19 : 408.19 = 213.15 : x
  2. Step 2: Convert to fraction form
    296.19/408.19 = 213.15/x
  3. Step 3: Cross multiply
    296.19x = 408.19 × 213.15
  4. Step 4: Simplify right side
    296.19x = 87,006.70
  5. Step 5: Solve for x
    x = 87,006.70/296.19
  6. Step 6: Final answer
    x = 293.75

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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.