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Finding the Fourth Proportional to 163.42, 243.76 and 147.85

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Solution

The fourth proportional to 163.42, 243.76 and 147.85 is: 220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 243.76 = 147.85 : x
  2. Step 2: Convert to fraction form
    163.42/243.76 = 147.85/x
  3. Step 3: Cross multiply
    163.42x = 243.76 × 147.85
  4. Step 4: Simplify right side
    163.42x = 36,039.49
  5. Step 5: Solve for x
    x = 36,039.49/163.42
  6. Step 6: Final answer
    x = 220.54

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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.