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Finding the Fourth Proportional to 408.47, 612.74 and 165.02

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Solution

The fourth proportional to 408.47, 612.74 and 165.02 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 612.74 = 165.02 : x
  2. Step 2: Convert to fraction form
    408.47/612.74 = 165.02/x
  3. Step 3: Cross multiply
    408.47x = 612.74 × 165.02
  4. Step 4: Simplify right side
    408.47x = 101,113.53
  5. Step 5: Solve for x
    x = 101,113.53/408.47
  6. Step 6: Final answer
    x = 247.54

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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.