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Finding the Fourth Proportional to 240.81, 361.13 and 103.79

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Solution

The fourth proportional to 240.81, 361.13 and 103.79 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.81 : 361.13 = 103.79 : x
  2. Step 2: Convert to fraction form
    240.81/361.13 = 103.79/x
  3. Step 3: Cross multiply
    240.81x = 361.13 × 103.79
  4. Step 4: Simplify right side
    240.81x = 37,479.36
  5. Step 5: Solve for x
    x = 37,479.36/240.81
  6. Step 6: Final answer
    x = 155.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.