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Finding the Fourth Proportional to 349.12, 523.32 and 194.96

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Solution

The fourth proportional to 349.12, 523.32 and 194.96 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.12 : 523.32 = 194.96 : x
  2. Step 2: Convert to fraction form
    349.12/523.32 = 194.96/x
  3. Step 3: Cross multiply
    349.12x = 523.32 × 194.96
  4. Step 4: Simplify right side
    349.12x = 102,026.47
  5. Step 5: Solve for x
    x = 102,026.47/349.12
  6. Step 6: Final answer
    x = 292.24

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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.