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Finding the Fourth Proportional to 241.68, 360.81 and 205.24

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Solution

The fourth proportional to 241.68, 360.81 and 205.24 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.68 : 360.81 = 205.24 : x
  2. Step 2: Convert to fraction form
    241.68/360.81 = 205.24/x
  3. Step 3: Cross multiply
    241.68x = 360.81 × 205.24
  4. Step 4: Simplify right side
    241.68x = 74,052.64
  5. Step 5: Solve for x
    x = 74,052.64/241.68
  6. Step 6: Final answer
    x = 306.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.