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Finding the Fourth Proportional to 320.20, 480.44 and 157.79

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Solution

The fourth proportional to 320.20, 480.44 and 157.79 is: 236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 480.44 = 157.79 : x
  2. Step 2: Convert to fraction form
    320.20/480.44 = 157.79/x
  3. Step 3: Cross multiply
    320.20x = 480.44 × 157.79
  4. Step 4: Simplify right side
    320.20x = 75,810.22
  5. Step 5: Solve for x
    x = 75,810.22/320.20
  6. Step 6: Final answer
    x = 236.76

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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.