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Finding the Fourth Proportional to 266.33, 366.80 and 229.48

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Solution

The fourth proportional to 266.33, 366.80 and 229.48 is: 316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.33 : 366.80 = 229.48 : x
  2. Step 2: Convert to fraction form
    266.33/366.80 = 229.48/x
  3. Step 3: Cross multiply
    266.33x = 366.80 × 229.48
  4. Step 4: Simplify right side
    266.33x = 84,171.43
  5. Step 5: Solve for x
    x = 84,171.43/266.33
  6. Step 6: Final answer
    x = 316.04

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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.