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Finding the Fourth Proportional to 334.69, 461.75 and 201.95

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Solution

The fourth proportional to 334.69, 461.75 and 201.95 is: 278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 461.75 = 201.95 : x
  2. Step 2: Convert to fraction form
    334.69/461.75 = 201.95/x
  3. Step 3: Cross multiply
    334.69x = 461.75 × 201.95
  4. Step 4: Simplify right side
    334.69x = 93,249.40
  5. Step 5: Solve for x
    x = 93,249.40/334.69
  6. Step 6: Final answer
    x = 278.61

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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.