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Finding the Fourth Proportional to 266.19, 398.32 and 193.92

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Solution

The fourth proportional to 266.19, 398.32 and 193.92 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.19 : 398.32 = 193.92 : x
  2. Step 2: Convert to fraction form
    266.19/398.32 = 193.92/x
  3. Step 3: Cross multiply
    266.19x = 398.32 × 193.92
  4. Step 4: Simplify right side
    266.19x = 77,241.73
  5. Step 5: Solve for x
    x = 77,241.73/266.19
  6. Step 6: Final answer
    x = 290.18

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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.