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Finding the Fourth Proportional to 320.32, 480.57 and 137.83

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Solution

The fourth proportional to 320.32, 480.57 and 137.83 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 480.57 = 137.83 : x
  2. Step 2: Convert to fraction form
    320.32/480.57 = 137.83/x
  3. Step 3: Cross multiply
    320.32x = 480.57 × 137.83
  4. Step 4: Simplify right side
    320.32x = 66,236.96
  5. Step 5: Solve for x
    x = 66,236.96/320.32
  6. Step 6: Final answer
    x = 206.78

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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.