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Finding the Fourth Proportional to 163.33, 244.88 and 65.84

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Solution

The fourth proportional to 163.33, 244.88 and 65.84 is: 98.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.33 : 244.88 = 65.84 : x
  2. Step 2: Convert to fraction form
    163.33/244.88 = 65.84/x
  3. Step 3: Cross multiply
    163.33x = 244.88 × 65.84
  4. Step 4: Simplify right side
    163.33x = 16,121.67
  5. Step 5: Solve for x
    x = 16,121.67/163.33
  6. Step 6: Final answer
    x = 98.71

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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.