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Finding the Fourth Proportional to 349.35, 523.80 and 143.86

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Solution

The fourth proportional to 349.35, 523.80 and 143.86 is: 215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 523.80 = 143.86 : x
  2. Step 2: Convert to fraction form
    349.35/523.80 = 143.86/x
  3. Step 3: Cross multiply
    349.35x = 523.80 × 143.86
  4. Step 4: Simplify right side
    349.35x = 75,353.87
  5. Step 5: Solve for x
    x = 75,353.87/349.35
  6. Step 6: Final answer
    x = 215.70

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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.