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Finding the Fourth Proportional to 240.24, 331.08 and 205.68

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Solution

The fourth proportional to 240.24, 331.08 and 205.68 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.08 = 205.68 : x
  2. Step 2: Convert to fraction form
    240.24/331.08 = 205.68/x
  3. Step 3: Cross multiply
    240.24x = 331.08 × 205.68
  4. Step 4: Simplify right side
    240.24x = 68,096.53
  5. Step 5: Solve for x
    x = 68,096.53/240.24
  6. Step 6: Final answer
    x = 283.45

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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.