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Finding the Fourth Proportional to 240.99, 361.46 and 149.40

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Solution

The fourth proportional to 240.99, 361.46 and 149.40 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.99 : 361.46 = 149.40 : x
  2. Step 2: Convert to fraction form
    240.99/361.46 = 149.40/x
  3. Step 3: Cross multiply
    240.99x = 361.46 × 149.40
  4. Step 4: Simplify right side
    240.99x = 54,001.38
  5. Step 5: Solve for x
    x = 54,001.38/240.99
  6. Step 6: Final answer
    x = 224.08

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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.