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Finding the Fourth Proportional to 349.55, 523.95 and 195.65

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Solution

The fourth proportional to 349.55, 523.95 and 195.65 is: 293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.55 : 523.95 = 195.65 : x
  2. Step 2: Convert to fraction form
    349.55/523.95 = 195.65/x
  3. Step 3: Cross multiply
    349.55x = 523.95 × 195.65
  4. Step 4: Simplify right side
    349.55x = 102,508.20
  5. Step 5: Solve for x
    x = 102,508.20/349.55
  6. Step 6: Final answer
    x = 293.26

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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.