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Finding the Fourth Proportional to 163.49, 243.90 and 155.75

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Solution

The fourth proportional to 163.49, 243.90 and 155.75 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.49 : 243.90 = 155.75 : x
  2. Step 2: Convert to fraction form
    163.49/243.90 = 155.75/x
  3. Step 3: Cross multiply
    163.49x = 243.90 × 155.75
  4. Step 4: Simplify right side
    163.49x = 37,986.21
  5. Step 5: Solve for x
    x = 37,986.21/163.49
  6. Step 6: Final answer
    x = 232.35

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Why These Related Problems?

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