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Finding the Fourth Proportional to 266.29, 398.93 and 223.23

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Solution

The fourth proportional to 266.29, 398.93 and 223.23 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 398.93 = 223.23 : x
  2. Step 2: Convert to fraction form
    266.29/398.93 = 223.23/x
  3. Step 3: Cross multiply
    266.29x = 398.93 × 223.23
  4. Step 4: Simplify right side
    266.29x = 89,052.03
  5. Step 5: Solve for x
    x = 89,052.03/266.29
  6. Step 6: Final answer
    x = 334.42

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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.