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Finding the Fourth Proportional to 163.90, 243.78 and 149.29

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Solution

The fourth proportional to 163.90, 243.78 and 149.29 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 243.78 = 149.29 : x
  2. Step 2: Convert to fraction form
    163.90/243.78 = 149.29/x
  3. Step 3: Cross multiply
    163.90x = 243.78 × 149.29
  4. Step 4: Simplify right side
    163.90x = 36,393.31
  5. Step 5: Solve for x
    x = 36,393.31/163.90
  6. Step 6: Final answer
    x = 222.05

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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.