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Finding the Fourth Proportional to 334.50, 461.80 and 224.14

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Solution

The fourth proportional to 334.50, 461.80 and 224.14 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.50 : 461.80 = 224.14 : x
  2. Step 2: Convert to fraction form
    334.50/461.80 = 224.14/x
  3. Step 3: Cross multiply
    334.50x = 461.80 × 224.14
  4. Step 4: Simplify right side
    334.50x = 103,507.85
  5. Step 5: Solve for x
    x = 103,507.85/334.50
  6. Step 6: Final answer
    x = 309.44

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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.