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Finding the Fourth Proportional to 349.48, 523.59 and 195.22

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Solution

The fourth proportional to 349.48, 523.59 and 195.22 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.48 : 523.59 = 195.22 : x
  2. Step 2: Convert to fraction form
    349.48/523.59 = 195.22/x
  3. Step 3: Cross multiply
    349.48x = 523.59 × 195.22
  4. Step 4: Simplify right side
    349.48x = 102,215.24
  5. Step 5: Solve for x
    x = 102,215.24/349.48
  6. Step 6: Final answer
    x = 292.48

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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.