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Finding the Fourth Proportional to 400.60, 601.11 and 169.66

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Solution

The fourth proportional to 400.60, 601.11 and 169.66 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.60 : 601.11 = 169.66 : x
  2. Step 2: Convert to fraction form
    400.60/601.11 = 169.66/x
  3. Step 3: Cross multiply
    400.60x = 601.11 × 169.66
  4. Step 4: Simplify right side
    400.60x = 101,984.32
  5. Step 5: Solve for x
    x = 101,984.32/400.60
  6. Step 6: Final answer
    x = 254.58

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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.