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Finding the Fourth Proportional to 334.38, 461.43 and 185.01

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Solution

The fourth proportional to 334.38, 461.43 and 185.01 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.38 : 461.43 = 185.01 : x
  2. Step 2: Convert to fraction form
    334.38/461.43 = 185.01/x
  3. Step 3: Cross multiply
    334.38x = 461.43 × 185.01
  4. Step 4: Simplify right side
    334.38x = 85,367.43
  5. Step 5: Solve for x
    x = 85,367.43/334.38
  6. Step 6: Final answer
    x = 255.30

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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.