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Finding the Fourth Proportional to 325.13, 487.74 and 195.23

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Solution

The fourth proportional to 325.13, 487.74 and 195.23 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.13 : 487.74 = 195.23 : x
  2. Step 2: Convert to fraction form
    325.13/487.74 = 195.23/x
  3. Step 3: Cross multiply
    325.13x = 487.74 × 195.23
  4. Step 4: Simplify right side
    325.13x = 95,219.04
  5. Step 5: Solve for x
    x = 95,219.04/325.13
  6. Step 6: Final answer
    x = 292.87

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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.