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Finding the Fourth Proportional to 241.68, 332.14 and 217.38

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Solution

The fourth proportional to 241.68, 332.14 and 217.38 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.68 : 332.14 = 217.38 : x
  2. Step 2: Convert to fraction form
    241.68/332.14 = 217.38/x
  3. Step 3: Cross multiply
    241.68x = 332.14 × 217.38
  4. Step 4: Simplify right side
    241.68x = 72,200.59
  5. Step 5: Solve for x
    x = 72,200.59/241.68
  6. Step 6: Final answer
    x = 298.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.