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Finding the Fourth Proportional to 266.52, 400.20 and 226.20

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Solution

The fourth proportional to 266.52, 400.20 and 226.20 is: 339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 400.20 = 226.20 : x
  2. Step 2: Convert to fraction form
    266.52/400.20 = 226.20/x
  3. Step 3: Cross multiply
    266.52x = 400.20 × 226.20
  4. Step 4: Simplify right side
    266.52x = 90,525.24
  5. Step 5: Solve for x
    x = 90,525.24/266.52
  6. Step 6: Final answer
    x = 339.66

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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.