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Finding the Fourth Proportional to 322.92, 445.55 and 218.20

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Solution

The fourth proportional to 322.92, 445.55 and 218.20 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.92 : 445.55 = 218.20 : x
  2. Step 2: Convert to fraction form
    322.92/445.55 = 218.20/x
  3. Step 3: Cross multiply
    322.92x = 445.55 × 218.20
  4. Step 4: Simplify right side
    322.92x = 97,219.01
  5. Step 5: Solve for x
    x = 97,219.01/322.92
  6. Step 6: Final answer
    x = 301.06

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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.