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Finding the Fourth Proportional to 347.24, 479.27 and 199.95

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Solution

The fourth proportional to 347.24, 479.27 and 199.95 is: 275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.24 : 479.27 = 199.95 : x
  2. Step 2: Convert to fraction form
    347.24/479.27 = 199.95/x
  3. Step 3: Cross multiply
    347.24x = 479.27 × 199.95
  4. Step 4: Simplify right side
    347.24x = 95,829.04
  5. Step 5: Solve for x
    x = 95,829.04/347.24
  6. Step 6: Final answer
    x = 275.98

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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.