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Finding the Fourth Proportional to 297.18, 409.74 and 209.70

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Solution

The fourth proportional to 297.18, 409.74 and 209.70 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 409.74 = 209.70 : x
  2. Step 2: Convert to fraction form
    297.18/409.74 = 209.70/x
  3. Step 3: Cross multiply
    297.18x = 409.74 × 209.70
  4. Step 4: Simplify right side
    297.18x = 85,922.48
  5. Step 5: Solve for x
    x = 85,922.48/297.18
  6. Step 6: Final answer
    x = 289.13

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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.