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Finding the Fourth Proportional to 203.67, 280.70 and 166.71

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Solution

The fourth proportional to 203.67, 280.70 and 166.71 is: 229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 280.70 = 166.71 : x
  2. Step 2: Convert to fraction form
    203.67/280.70 = 166.71/x
  3. Step 3: Cross multiply
    203.67x = 280.70 × 166.71
  4. Step 4: Simplify right side
    203.67x = 46,794.66
  5. Step 5: Solve for x
    x = 46,794.66/203.67
  6. Step 6: Final answer
    x = 229.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.