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Finding the Fourth Proportional to 347.78, 521.34 and 131.30

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Solution

The fourth proportional to 347.78, 521.34 and 131.30 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.78 : 521.34 = 131.30 : x
  2. Step 2: Convert to fraction form
    347.78/521.34 = 131.30/x
  3. Step 3: Cross multiply
    347.78x = 521.34 × 131.30
  4. Step 4: Simplify right side
    347.78x = 68,453.73
  5. Step 5: Solve for x
    x = 68,453.73/347.78
  6. Step 6: Final answer
    x = 196.83

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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.