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Finding the Fourth Proportional to 408.40, 612.42 and 177.18

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Solution

The fourth proportional to 408.40, 612.42 and 177.18 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.40 : 612.42 = 177.18 : x
  2. Step 2: Convert to fraction form
    408.40/612.42 = 177.18/x
  3. Step 3: Cross multiply
    408.40x = 612.42 × 177.18
  4. Step 4: Simplify right side
    408.40x = 108,508.58
  5. Step 5: Solve for x
    x = 108,508.58/408.40
  6. Step 6: Final answer
    x = 265.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.