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Finding the Fourth Proportional to 296.21, 408.40 and 191.12

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Solution

The fourth proportional to 296.21, 408.40 and 191.12 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 408.40 = 191.12 : x
  2. Step 2: Convert to fraction form
    296.21/408.40 = 191.12/x
  3. Step 3: Cross multiply
    296.21x = 408.40 × 191.12
  4. Step 4: Simplify right side
    296.21x = 78,053.95
  5. Step 5: Solve for x
    x = 78,053.95/296.21
  6. Step 6: Final answer
    x = 263.51

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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.