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Finding the Fourth Proportional to 266.01, 399.09 and 233.21

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Solution

The fourth proportional to 266.01, 399.09 and 233.21 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 399.09 = 233.21 : x
  2. Step 2: Convert to fraction form
    266.01/399.09 = 233.21/x
  3. Step 3: Cross multiply
    266.01x = 399.09 × 233.21
  4. Step 4: Simplify right side
    266.01x = 93,069.78
  5. Step 5: Solve for x
    x = 93,069.78/266.01
  6. Step 6: Final answer
    x = 349.87

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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.