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Finding the Fourth Proportional to 601.38, 902.14 and 168.55

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Solution

The fourth proportional to 601.38, 902.14 and 168.55 is: 252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 902.14 = 168.55 : x
  2. Step 2: Convert to fraction form
    601.38/902.14 = 168.55/x
  3. Step 3: Cross multiply
    601.38x = 902.14 × 168.55
  4. Step 4: Simplify right side
    601.38x = 152,053.02
  5. Step 5: Solve for x
    x = 152,053.02/601.38
  6. Step 6: Final answer
    x = 252.84

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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.