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Finding the Fourth Proportional to 240.22, 329.74 and 221.76

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Solution

The fourth proportional to 240.22, 329.74 and 221.76 is: 304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.22 : 329.74 = 221.76 : x
  2. Step 2: Convert to fraction form
    240.22/329.74 = 221.76/x
  3. Step 3: Cross multiply
    240.22x = 329.74 × 221.76
  4. Step 4: Simplify right side
    240.22x = 73,123.14
  5. Step 5: Solve for x
    x = 73,123.14/240.22
  6. Step 6: Final answer
    x = 304.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.