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Finding the Fourth Proportional to 347.11, 479.02 and 189.74

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Solution

The fourth proportional to 347.11, 479.02 and 189.74 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.11 : 479.02 = 189.74 : x
  2. Step 2: Convert to fraction form
    347.11/479.02 = 189.74/x
  3. Step 3: Cross multiply
    347.11x = 479.02 × 189.74
  4. Step 4: Simplify right side
    347.11x = 90,889.25
  5. Step 5: Solve for x
    x = 90,889.25/347.11
  6. Step 6: Final answer
    x = 261.85

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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.