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Finding the Fourth Proportional to 296.64, 408.96 and 207.90

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Solution

The fourth proportional to 296.64, 408.96 and 207.90 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 408.96 = 207.90 : x
  2. Step 2: Convert to fraction form
    296.64/408.96 = 207.90/x
  3. Step 3: Cross multiply
    296.64x = 408.96 × 207.90
  4. Step 4: Simplify right side
    296.64x = 85,022.78
  5. Step 5: Solve for x
    x = 85,022.78/296.64
  6. Step 6: Final answer
    x = 286.62

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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.