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Finding the Fourth Proportional to 241.17, 332.48 and 206.05

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Solution

The fourth proportional to 241.17, 332.48 and 206.05 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.17 : 332.48 = 206.05 : x
  2. Step 2: Convert to fraction form
    241.17/332.48 = 206.05/x
  3. Step 3: Cross multiply
    241.17x = 332.48 × 206.05
  4. Step 4: Simplify right side
    241.17x = 68,507.50
  5. Step 5: Solve for x
    x = 68,507.50/241.17
  6. Step 6: Final answer
    x = 284.06

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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.