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Finding the Fourth Proportional to 319.67, 479.55 and 103.22

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Solution

The fourth proportional to 319.67, 479.55 and 103.22 is: 154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.67 : 479.55 = 103.22 : x
  2. Step 2: Convert to fraction form
    319.67/479.55 = 103.22/x
  3. Step 3: Cross multiply
    319.67x = 479.55 × 103.22
  4. Step 4: Simplify right side
    319.67x = 49,496.75
  5. Step 5: Solve for x
    x = 49,496.75/319.67
  6. Step 6: Final answer
    x = 154.84

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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.