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Finding the Fourth Proportional to 296.68, 409.86 and 209.32

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Solution

The fourth proportional to 296.68, 409.86 and 209.32 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.68 : 409.86 = 209.32 : x
  2. Step 2: Convert to fraction form
    296.68/409.86 = 209.32/x
  3. Step 3: Cross multiply
    296.68x = 409.86 × 209.32
  4. Step 4: Simplify right side
    296.68x = 85,791.90
  5. Step 5: Solve for x
    x = 85,791.90/296.68
  6. Step 6: Final answer
    x = 289.17

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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.