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Finding the Fourth Proportional to 466.28, 699.26 and 137.12

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Solution

The fourth proportional to 466.28, 699.26 and 137.12 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.28 : 699.26 = 137.12 : x
  2. Step 2: Convert to fraction form
    466.28/699.26 = 137.12/x
  3. Step 3: Cross multiply
    466.28x = 699.26 × 137.12
  4. Step 4: Simplify right side
    466.28x = 95,883.59
  5. Step 5: Solve for x
    x = 95,883.59/466.28
  6. Step 6: Final answer
    x = 205.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.