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Finding the Fourth Proportional to 241.24, 333.81 and 206.20

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Solution

The fourth proportional to 241.24, 333.81 and 206.20 is: 285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.24 : 333.81 = 206.20 : x
  2. Step 2: Convert to fraction form
    241.24/333.81 = 206.20/x
  3. Step 3: Cross multiply
    241.24x = 333.81 × 206.20
  4. Step 4: Simplify right side
    241.24x = 68,831.62
  5. Step 5: Solve for x
    x = 68,831.62/241.24
  6. Step 6: Final answer
    x = 285.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.