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Finding the Fourth Proportional to 334.15, 460.97 and 223.66

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Solution

The fourth proportional to 334.15, 460.97 and 223.66 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.15 : 460.97 = 223.66 : x
  2. Step 2: Convert to fraction form
    334.15/460.97 = 223.66/x
  3. Step 3: Cross multiply
    334.15x = 460.97 × 223.66
  4. Step 4: Simplify right side
    334.15x = 103,100.55
  5. Step 5: Solve for x
    x = 103,100.55/334.15
  6. Step 6: Final answer
    x = 308.55

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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.