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Finding the Fourth Proportional to 266.67, 397.80 and 234.09

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Solution

The fourth proportional to 266.67, 397.80 and 234.09 is: 349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.67 : 397.80 = 234.09 : x
  2. Step 2: Convert to fraction form
    266.67/397.80 = 234.09/x
  3. Step 3: Cross multiply
    266.67x = 397.80 × 234.09
  4. Step 4: Simplify right side
    266.67x = 93,121.00
  5. Step 5: Solve for x
    x = 93,121.00/266.67
  6. Step 6: Final answer
    x = 349.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.