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Finding the Fourth Proportional to 319.37, 479.05 and 102.94

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Solution

The fourth proportional to 319.37, 479.05 and 102.94 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.37 : 479.05 = 102.94 : x
  2. Step 2: Convert to fraction form
    319.37/479.05 = 102.94/x
  3. Step 3: Cross multiply
    319.37x = 479.05 × 102.94
  4. Step 4: Simplify right side
    319.37x = 49,311.95
  5. Step 5: Solve for x
    x = 49,311.95/319.37
  6. Step 6: Final answer
    x = 154.41

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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.