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Finding the Fourth Proportional to 334.86, 462.17 and 202.09

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Solution

The fourth proportional to 334.86, 462.17 and 202.09 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 462.17 = 202.09 : x
  2. Step 2: Convert to fraction form
    334.86/462.17 = 202.09/x
  3. Step 3: Cross multiply
    334.86x = 462.17 × 202.09
  4. Step 4: Simplify right side
    334.86x = 93,399.94
  5. Step 5: Solve for x
    x = 93,399.94/334.86
  6. Step 6: Final answer
    x = 278.92

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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.