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Finding the Fourth Proportional to 319.79, 480.13 and 163.72

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Solution

The fourth proportional to 319.79, 480.13 and 163.72 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.79 : 480.13 = 163.72 : x
  2. Step 2: Convert to fraction form
    319.79/480.13 = 163.72/x
  3. Step 3: Cross multiply
    319.79x = 480.13 × 163.72
  4. Step 4: Simplify right side
    319.79x = 78,608.89
  5. Step 5: Solve for x
    x = 78,608.89/319.79
  6. Step 6: Final answer
    x = 245.82

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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.