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Finding the Fourth Proportional to 163.33, 225.24 and 110.78

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Solution

The fourth proportional to 163.33, 225.24 and 110.78 is: 152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.33 : 225.24 = 110.78 : x
  2. Step 2: Convert to fraction form
    163.33/225.24 = 110.78/x
  3. Step 3: Cross multiply
    163.33x = 225.24 × 110.78
  4. Step 4: Simplify right side
    163.33x = 24,952.09
  5. Step 5: Solve for x
    x = 24,952.09/163.33
  6. Step 6: Final answer
    x = 152.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.