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Finding the Fourth Proportional to 349.13, 523.29 and 195.02

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Solution

The fourth proportional to 349.13, 523.29 and 195.02 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.13 : 523.29 = 195.02 : x
  2. Step 2: Convert to fraction form
    349.13/523.29 = 195.02/x
  3. Step 3: Cross multiply
    349.13x = 523.29 × 195.02
  4. Step 4: Simplify right side
    349.13x = 102,052.02
  5. Step 5: Solve for x
    x = 102,052.02/349.13
  6. Step 6: Final answer
    x = 292.30

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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.