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Finding the Fourth Proportional to 310.62, 466.05 and 137.28

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Solution

The fourth proportional to 310.62, 466.05 and 137.28 is: 205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 466.05 = 137.28 : x
  2. Step 2: Convert to fraction form
    310.62/466.05 = 137.28/x
  3. Step 3: Cross multiply
    310.62x = 466.05 × 137.28
  4. Step 4: Simplify right side
    310.62x = 63,977.01
  5. Step 5: Solve for x
    x = 63,977.01/310.62
  6. Step 6: Final answer
    x = 205.97

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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.