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Finding the Fourth Proportional to 320.65, 480.61 and 158.44

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Solution

The fourth proportional to 320.65, 480.61 and 158.44 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.65 : 480.61 = 158.44 : x
  2. Step 2: Convert to fraction form
    320.65/480.61 = 158.44/x
  3. Step 3: Cross multiply
    320.65x = 480.61 × 158.44
  4. Step 4: Simplify right side
    320.65x = 76,147.85
  5. Step 5: Solve for x
    x = 76,147.85/320.65
  6. Step 6: Final answer
    x = 237.48

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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.