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Finding the Fourth Proportional to 408.81, 612.96 and 177.57

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Solution

The fourth proportional to 408.81, 612.96 and 177.57 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 612.96 = 177.57 : x
  2. Step 2: Convert to fraction form
    408.81/612.96 = 177.57/x
  3. Step 3: Cross multiply
    408.81x = 612.96 × 177.57
  4. Step 4: Simplify right side
    408.81x = 108,843.31
  5. Step 5: Solve for x
    x = 108,843.31/408.81
  6. Step 6: Final answer
    x = 266.24

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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.