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Finding the Fourth Proportional to 347.20, 479.18 and 199.82

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Solution

The fourth proportional to 347.20, 479.18 and 199.82 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.20 : 479.18 = 199.82 : x
  2. Step 2: Convert to fraction form
    347.20/479.18 = 199.82/x
  3. Step 3: Cross multiply
    347.20x = 479.18 × 199.82
  4. Step 4: Simplify right side
    347.20x = 95,749.75
  5. Step 5: Solve for x
    x = 95,749.75/347.20
  6. Step 6: Final answer
    x = 275.78

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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.