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Finding the Fourth Proportional to 296.18, 408.87 and 209.06

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Solution

The fourth proportional to 296.18, 408.87 and 209.06 is: 288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.18 : 408.87 = 209.06 : x
  2. Step 2: Convert to fraction form
    296.18/408.87 = 209.06/x
  3. Step 3: Cross multiply
    296.18x = 408.87 × 209.06
  4. Step 4: Simplify right side
    296.18x = 85,478.36
  5. Step 5: Solve for x
    x = 85,478.36/296.18
  6. Step 6: Final answer
    x = 288.60

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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.