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Finding the Fourth Proportional to 347.39, 520.92 and 141.80

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Solution

The fourth proportional to 347.39, 520.92 and 141.80 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.39 : 520.92 = 141.80 : x
  2. Step 2: Convert to fraction form
    347.39/520.92 = 141.80/x
  3. Step 3: Cross multiply
    347.39x = 520.92 × 141.80
  4. Step 4: Simplify right side
    347.39x = 73,866.46
  5. Step 5: Solve for x
    x = 73,866.46/347.39
  6. Step 6: Final answer
    x = 212.64

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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.