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Finding the Fourth Proportional to 605.68, 908.55 and 166.86

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Solution

The fourth proportional to 605.68, 908.55 and 166.86 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 908.55 = 166.86 : x
  2. Step 2: Convert to fraction form
    605.68/908.55 = 166.86/x
  3. Step 3: Cross multiply
    605.68x = 908.55 × 166.86
  4. Step 4: Simplify right side
    605.68x = 151,600.65
  5. Step 5: Solve for x
    x = 151,600.65/605.68
  6. Step 6: Final answer
    x = 250.30

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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.