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Finding the Fourth Proportional to 441.57, 661.77 and 167.40

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Solution

The fourth proportional to 441.57, 661.77 and 167.40 is: 250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.57 : 661.77 = 167.40 : x
  2. Step 2: Convert to fraction form
    441.57/661.77 = 167.40/x
  3. Step 3: Cross multiply
    441.57x = 661.77 × 167.40
  4. Step 4: Simplify right side
    441.57x = 110,780.30
  5. Step 5: Solve for x
    x = 110,780.30/441.57
  6. Step 6: Final answer
    x = 250.88

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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.