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Finding the Fourth Proportional to 320.72, 480.96 and 115.25

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Solution

The fourth proportional to 320.72, 480.96 and 115.25 is: 172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 480.96 = 115.25 : x
  2. Step 2: Convert to fraction form
    320.72/480.96 = 115.25/x
  3. Step 3: Cross multiply
    320.72x = 480.96 × 115.25
  4. Step 4: Simplify right side
    320.72x = 55,428.24
  5. Step 5: Solve for x
    x = 55,428.24/320.72
  6. Step 6: Final answer
    x = 172.83

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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.