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Finding the Fourth Proportional to 241.86, 332.57 and 206.75

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Solution

The fourth proportional to 241.86, 332.57 and 206.75 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.86 : 332.57 = 206.75 : x
  2. Step 2: Convert to fraction form
    241.86/332.57 = 206.75/x
  3. Step 3: Cross multiply
    241.86x = 332.57 × 206.75
  4. Step 4: Simplify right side
    241.86x = 68,756.15
  5. Step 5: Solve for x
    x = 68,756.15/241.86
  6. Step 6: Final answer
    x = 284.28

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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.