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Finding the Fourth Proportional to 334.86, 462.18 and 216.94

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Solution

The fourth proportional to 334.86, 462.18 and 216.94 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 462.18 = 216.94 : x
  2. Step 2: Convert to fraction form
    334.86/462.18 = 216.94/x
  3. Step 3: Cross multiply
    334.86x = 462.18 × 216.94
  4. Step 4: Simplify right side
    334.86x = 100,265.33
  5. Step 5: Solve for x
    x = 100,265.33/334.86
  6. Step 6: Final answer
    x = 299.42

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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.