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Finding the Fourth Proportional to 163.53, 243.81 and 157.41

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Solution

The fourth proportional to 163.53, 243.81 and 157.41 is: 234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.53 : 243.81 = 157.41 : x
  2. Step 2: Convert to fraction form
    163.53/243.81 = 157.41/x
  3. Step 3: Cross multiply
    163.53x = 243.81 × 157.41
  4. Step 4: Simplify right side
    163.53x = 38,378.13
  5. Step 5: Solve for x
    x = 38,378.13/163.53
  6. Step 6: Final answer
    x = 234.69

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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.