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Finding the Fourth Proportional to 163.72, 243.81 and 156.70

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Solution

The fourth proportional to 163.72, 243.81 and 156.70 is: 233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 243.81 = 156.70 : x
  2. Step 2: Convert to fraction form
    163.72/243.81 = 156.70/x
  3. Step 3: Cross multiply
    163.72x = 243.81 × 156.70
  4. Step 4: Simplify right side
    163.72x = 38,205.03
  5. Step 5: Solve for x
    x = 38,205.03/163.72
  6. Step 6: Final answer
    x = 233.36

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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.