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Finding the Fourth Proportional to 163.60, 246.40 and 149.55

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Solution

The fourth proportional to 163.60, 246.40 and 149.55 is: 225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.60 : 246.40 = 149.55 : x
  2. Step 2: Convert to fraction form
    163.60/246.40 = 149.55/x
  3. Step 3: Cross multiply
    163.60x = 246.40 × 149.55
  4. Step 4: Simplify right side
    163.60x = 36,849.12
  5. Step 5: Solve for x
    x = 36,849.12/163.60
  6. Step 6: Final answer
    x = 225.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.