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Finding the Fourth Proportional to 401.15, 601.78 and 169.90

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Solution

The fourth proportional to 401.15, 601.78 and 169.90 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.15 : 601.78 = 169.90 : x
  2. Step 2: Convert to fraction form
    401.15/601.78 = 169.90/x
  3. Step 3: Cross multiply
    401.15x = 601.78 × 169.90
  4. Step 4: Simplify right side
    401.15x = 102,240.49
  5. Step 5: Solve for x
    x = 102,240.49/401.15
  6. Step 6: Final answer
    x = 254.87

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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.