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Finding the Fourth Proportional to 296.88, 408.62 and 247.20

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Solution

The fourth proportional to 296.88, 408.62 and 247.20 is: 340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.88 : 408.62 = 247.20 : x
  2. Step 2: Convert to fraction form
    296.88/408.62 = 247.20/x
  3. Step 3: Cross multiply
    296.88x = 408.62 × 247.20
  4. Step 4: Simplify right side
    296.88x = 101,010.86
  5. Step 5: Solve for x
    x = 101,010.86/296.88
  6. Step 6: Final answer
    x = 340.24

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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.