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Finding the Fourth Proportional to 349.39, 524.32 and 132.97

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Solution

The fourth proportional to 349.39, 524.32 and 132.97 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.39 : 524.32 = 132.97 : x
  2. Step 2: Convert to fraction form
    349.39/524.32 = 132.97/x
  3. Step 3: Cross multiply
    349.39x = 524.32 × 132.97
  4. Step 4: Simplify right side
    349.39x = 69,718.83
  5. Step 5: Solve for x
    x = 69,718.83/349.39
  6. Step 6: Final answer
    x = 199.54

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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.