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Finding the Fourth Proportional to 412.29, 618.45 and 168.82

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Solution

The fourth proportional to 412.29, 618.45 and 168.82 is: 253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 618.45 = 168.82 : x
  2. Step 2: Convert to fraction form
    412.29/618.45 = 168.82/x
  3. Step 3: Cross multiply
    412.29x = 618.45 × 168.82
  4. Step 4: Simplify right side
    412.29x = 104,406.73
  5. Step 5: Solve for x
    x = 104,406.73/412.29
  6. Step 6: Final answer
    x = 253.24

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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.