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Finding the Fourth Proportional to 169.78, 254.76 and 163.72

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Solution

The fourth proportional to 169.78, 254.76 and 163.72 is: 245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 254.76 = 163.72 : x
  2. Step 2: Convert to fraction form
    169.78/254.76 = 163.72/x
  3. Step 3: Cross multiply
    169.78x = 254.76 × 163.72
  4. Step 4: Simplify right side
    169.78x = 41,709.31
  5. Step 5: Solve for x
    x = 41,709.31/169.78
  6. Step 6: Final answer
    x = 245.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.