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Finding the Fourth Proportional to 241.26, 332.34 and 206.18

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Solution

The fourth proportional to 241.26, 332.34 and 206.18 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.26 : 332.34 = 206.18 : x
  2. Step 2: Convert to fraction form
    241.26/332.34 = 206.18/x
  3. Step 3: Cross multiply
    241.26x = 332.34 × 206.18
  4. Step 4: Simplify right side
    241.26x = 68,521.86
  5. Step 5: Solve for x
    x = 68,521.86/241.26
  6. Step 6: Final answer
    x = 284.02

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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.