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Finding the Fourth Proportional to 412, 618.26 and 195.60

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Solution

The fourth proportional to 412, 618.26 and 195.60 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 618.26 = 195.60 : x
  2. Step 2: Convert to fraction form
    412/618.26 = 195.60/x
  3. Step 3: Cross multiply
    412x = 618.26 × 195.60
  4. Step 4: Simplify right side
    412x = 120,931.66
  5. Step 5: Solve for x
    x = 120,931.66/412
  6. Step 6: Final answer
    x = 293.52

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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.