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Finding the Fourth Proportional to 163.08, 243.36 and 144.90

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Solution

The fourth proportional to 163.08, 243.36 and 144.90 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 243.36 = 144.90 : x
  2. Step 2: Convert to fraction form
    163.08/243.36 = 144.90/x
  3. Step 3: Cross multiply
    163.08x = 243.36 × 144.90
  4. Step 4: Simplify right side
    163.08x = 35,262.86
  5. Step 5: Solve for x
    x = 35,262.86/163.08
  6. Step 6: Final answer
    x = 216.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.