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Finding the Fourth Proportional to 349.39, 523.62 and 143.75

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Solution

The fourth proportional to 349.39, 523.62 and 143.75 is: 215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.39 : 523.62 = 143.75 : x
  2. Step 2: Convert to fraction form
    349.39/523.62 = 143.75/x
  3. Step 3: Cross multiply
    349.39x = 523.62 × 143.75
  4. Step 4: Simplify right side
    349.39x = 75,269.14
  5. Step 5: Solve for x
    x = 75,269.14/349.39
  6. Step 6: Final answer
    x = 215.43

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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.