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Finding the Fourth Proportional to 163.76, 244.26 and 150.08

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Solution

The fourth proportional to 163.76, 244.26 and 150.08 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 244.26 = 150.08 : x
  2. Step 2: Convert to fraction form
    163.76/244.26 = 150.08/x
  3. Step 3: Cross multiply
    163.76x = 244.26 × 150.08
  4. Step 4: Simplify right side
    163.76x = 36,657.32
  5. Step 5: Solve for x
    x = 36,657.32/163.76
  6. Step 6: Final answer
    x = 223.85

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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.