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Finding the Fourth Proportional to 240.81, 361.20 and 96.52

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Solution

The fourth proportional to 240.81, 361.20 and 96.52 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.81 : 361.20 = 96.52 : x
  2. Step 2: Convert to fraction form
    240.81/361.20 = 96.52/x
  3. Step 3: Cross multiply
    240.81x = 361.20 × 96.52
  4. Step 4: Simplify right side
    240.81x = 34,863.02
  5. Step 5: Solve for x
    x = 34,863.02/240.81
  6. Step 6: Final answer
    x = 144.77

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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.