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Finding the Fourth Proportional to 320.40, 480.36 and 127.92

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Solution

The fourth proportional to 320.40, 480.36 and 127.92 is: 191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 480.36 = 127.92 : x
  2. Step 2: Convert to fraction form
    320.40/480.36 = 127.92/x
  3. Step 3: Cross multiply
    320.40x = 480.36 × 127.92
  4. Step 4: Simplify right side
    320.40x = 61,447.65
  5. Step 5: Solve for x
    x = 61,447.65/320.40
  6. Step 6: Final answer
    x = 191.78

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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.