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Finding the Fourth Proportional to 163.52, 243.77 and 154.32

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Solution

The fourth proportional to 163.52, 243.77 and 154.32 is: 230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 243.77 = 154.32 : x
  2. Step 2: Convert to fraction form
    163.52/243.77 = 154.32/x
  3. Step 3: Cross multiply
    163.52x = 243.77 × 154.32
  4. Step 4: Simplify right side
    163.52x = 37,618.59
  5. Step 5: Solve for x
    x = 37,618.59/163.52
  6. Step 6: Final answer
    x = 230.05

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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.