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Finding the Fourth Proportional to 412.42, 618.36 and 165.54

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Solution

The fourth proportional to 412.42, 618.36 and 165.54 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 618.36 = 165.54 : x
  2. Step 2: Convert to fraction form
    412.42/618.36 = 165.54/x
  3. Step 3: Cross multiply
    412.42x = 618.36 × 165.54
  4. Step 4: Simplify right side
    412.42x = 102,363.31
  5. Step 5: Solve for x
    x = 102,363.31/412.42
  6. Step 6: Final answer
    x = 248.20

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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.