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Finding the Fourth Proportional to 319.40, 479.10 and 102.94

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Solution

The fourth proportional to 319.40, 479.10 and 102.94 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 479.10 = 102.94 : x
  2. Step 2: Convert to fraction form
    319.40/479.10 = 102.94/x
  3. Step 3: Cross multiply
    319.40x = 479.10 × 102.94
  4. Step 4: Simplify right side
    319.40x = 49,318.55
  5. Step 5: Solve for x
    x = 49,318.55/319.40
  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.