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Finding the Fourth Proportional to 266.70, 400.20 and 209.02

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Solution

The fourth proportional to 266.70, 400.20 and 209.02 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.70 : 400.20 = 209.02 : x
  2. Step 2: Convert to fraction form
    266.70/400.20 = 209.02/x
  3. Step 3: Cross multiply
    266.70x = 400.20 × 209.02
  4. Step 4: Simplify right side
    266.70x = 83,649.80
  5. Step 5: Solve for x
    x = 83,649.80/266.70
  6. Step 6: Final answer
    x = 313.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.