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Finding the Fourth Proportional to 320.30, 480.09 and 137.60

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Solution

The fourth proportional to 320.30, 480.09 and 137.60 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.30 : 480.09 = 137.60 : x
  2. Step 2: Convert to fraction form
    320.30/480.09 = 137.60/x
  3. Step 3: Cross multiply
    320.30x = 480.09 × 137.60
  4. Step 4: Simplify right side
    320.30x = 66,060.38
  5. Step 5: Solve for x
    x = 66,060.38/320.30
  6. Step 6: Final answer
    x = 206.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.