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Finding the Fourth Proportional to 311.10, 466.82 and 140.10

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Solution

The fourth proportional to 311.10, 466.82 and 140.10 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 466.82 = 140.10 : x
  2. Step 2: Convert to fraction form
    311.10/466.82 = 140.10/x
  3. Step 3: Cross multiply
    311.10x = 466.82 × 140.10
  4. Step 4: Simplify right side
    311.10x = 65,399.15
  5. Step 5: Solve for x
    x = 65,399.15/311.10
  6. Step 6: Final answer
    x = 210.22

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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.