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Finding the Fourth Proportional to 412.22, 618.33 and 168.77

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Solution

The fourth proportional to 412.22, 618.33 and 168.77 is: 253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 618.33 = 168.77 : x
  2. Step 2: Convert to fraction form
    412.22/618.33 = 168.77/x
  3. Step 3: Cross multiply
    412.22x = 618.33 × 168.77
  4. Step 4: Simplify right side
    412.22x = 104,357.73
  5. Step 5: Solve for x
    x = 104,357.73/412.22
  6. Step 6: Final answer
    x = 253.16

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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.