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Finding the Fourth Proportional to 320.54, 480.60 and 137.84

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Solution

The fourth proportional to 320.54, 480.60 and 137.84 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.54 : 480.60 = 137.84 : x
  2. Step 2: Convert to fraction form
    320.54/480.60 = 137.84/x
  3. Step 3: Cross multiply
    320.54x = 480.60 × 137.84
  4. Step 4: Simplify right side
    320.54x = 66,243.50
  5. Step 5: Solve for x
    x = 66,243.50/320.54
  6. Step 6: Final answer
    x = 206.67

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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.