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Finding the Fourth Proportional to 334.44, 461.07 and 223.74

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Solution

The fourth proportional to 334.44, 461.07 and 223.74 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 461.07 = 223.74 : x
  2. Step 2: Convert to fraction form
    334.44/461.07 = 223.74/x
  3. Step 3: Cross multiply
    334.44x = 461.07 × 223.74
  4. Step 4: Simplify right side
    334.44x = 103,159.80
  5. Step 5: Solve for x
    x = 103,159.80/334.44
  6. Step 6: Final answer
    x = 308.46

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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.