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Finding the Fourth Proportional to 319.64, 479.52 and 103.23

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Solution

The fourth proportional to 319.64, 479.52 and 103.23 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 479.52 = 103.23 : x
  2. Step 2: Convert to fraction form
    319.64/479.52 = 103.23/x
  3. Step 3: Cross multiply
    319.64x = 479.52 × 103.23
  4. Step 4: Simplify right side
    319.64x = 49,500.85
  5. Step 5: Solve for x
    x = 49,500.85/319.64
  6. Step 6: Final answer
    x = 154.87

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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.