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Finding the Fourth Proportional to 320.98, 443.16 and 227.82

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Solution

The fourth proportional to 320.98, 443.16 and 227.82 is: 314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.98 : 443.16 = 227.82 : x
  2. Step 2: Convert to fraction form
    320.98/443.16 = 227.82/x
  3. Step 3: Cross multiply
    320.98x = 443.16 × 227.82
  4. Step 4: Simplify right side
    320.98x = 100,960.71
  5. Step 5: Solve for x
    x = 100,960.71/320.98
  6. Step 6: Final answer
    x = 314.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.