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Finding the Fourth Proportional to 334.14, 460.92 and 217.50

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Solution

The fourth proportional to 334.14, 460.92 and 217.50 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 460.92 = 217.50 : x
  2. Step 2: Convert to fraction form
    334.14/460.92 = 217.50/x
  3. Step 3: Cross multiply
    334.14x = 460.92 × 217.50
  4. Step 4: Simplify right side
    334.14x = 100,250.10
  5. Step 5: Solve for x
    x = 100,250.10/334.14
  6. Step 6: Final answer
    x = 300.02

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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.