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Finding the Fourth Proportional to 397.72, 596.23 and 166.80

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Solution

The fourth proportional to 397.72, 596.23 and 166.80 is: 250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.72 : 596.23 = 166.80 : x
  2. Step 2: Convert to fraction form
    397.72/596.23 = 166.80/x
  3. Step 3: Cross multiply
    397.72x = 596.23 × 166.80
  4. Step 4: Simplify right side
    397.72x = 99,451.16
  5. Step 5: Solve for x
    x = 99,451.16/397.72
  6. Step 6: Final answer
    x = 250.05

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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.