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Finding the Fourth Proportional to 412.02, 618.17 and 195.57

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Solution

The fourth proportional to 412.02, 618.17 and 195.57 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 618.17 = 195.57 : x
  2. Step 2: Convert to fraction form
    412.02/618.17 = 195.57/x
  3. Step 3: Cross multiply
    412.02x = 618.17 × 195.57
  4. Step 4: Simplify right side
    412.02x = 120,894.53
  5. Step 5: Solve for x
    x = 120,894.53/412.02
  6. Step 6: Final answer
    x = 293.42

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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.