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Finding the Fourth Proportional to 349.11, 523.17 and 195

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Solution

The fourth proportional to 349.11, 523.17 and 195 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.11 : 523.17 = 195 : x
  2. Step 2: Convert to fraction form
    349.11/523.17 = 195/x
  3. Step 3: Cross multiply
    349.11x = 523.17 × 195
  4. Step 4: Simplify right side
    349.11x = 102,018.15
  5. Step 5: Solve for x
    x = 102,018.15/349.11
  6. Step 6: Final answer
    x = 292.22

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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.