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Finding the Fourth Proportional to 311.49, 466.74 and 137.93

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Solution

The fourth proportional to 311.49, 466.74 and 137.93 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 466.74 = 137.93 : x
  2. Step 2: Convert to fraction form
    311.49/466.74 = 137.93/x
  3. Step 3: Cross multiply
    311.49x = 466.74 × 137.93
  4. Step 4: Simplify right side
    311.49x = 64,375.11
  5. Step 5: Solve for x
    x = 64,375.11/311.49
  6. Step 6: Final answer
    x = 206.67

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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.