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Finding the Fourth Proportional to 347.34, 520.71 and 130.80

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Solution

The fourth proportional to 347.34, 520.71 and 130.80 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.34 : 520.71 = 130.80 : x
  2. Step 2: Convert to fraction form
    347.34/520.71 = 130.80/x
  3. Step 3: Cross multiply
    347.34x = 520.71 × 130.80
  4. Step 4: Simplify right side
    347.34x = 68,108.87
  5. Step 5: Solve for x
    x = 68,108.87/347.34
  6. Step 6: Final answer
    x = 196.09

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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.