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Finding the Fourth Proportional to 408.53, 612.89 and 165.31

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Solution

The fourth proportional to 408.53, 612.89 and 165.31 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 612.89 = 165.31 : x
  2. Step 2: Convert to fraction form
    408.53/612.89 = 165.31/x
  3. Step 3: Cross multiply
    408.53x = 612.89 × 165.31
  4. Step 4: Simplify right side
    408.53x = 101,316.85
  5. Step 5: Solve for x
    x = 101,316.85/408.53
  6. Step 6: Final answer
    x = 248.00

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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.