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Finding the Fourth Proportional to 266.20, 367.20 and 203.93

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Solution

The fourth proportional to 266.20, 367.20 and 203.93 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 367.20 = 203.93 : x
  2. Step 2: Convert to fraction form
    266.20/367.20 = 203.93/x
  3. Step 3: Cross multiply
    266.20x = 367.20 × 203.93
  4. Step 4: Simplify right side
    266.20x = 74,882.64
  5. Step 5: Solve for x
    x = 74,882.64/266.20
  6. Step 6: Final answer
    x = 281.30

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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.