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Finding the Fourth Proportional to 237.84, 327.98 and 154.95

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Solution

The fourth proportional to 237.84, 327.98 and 154.95 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 327.98 = 154.95 : x
  2. Step 2: Convert to fraction form
    237.84/327.98 = 154.95/x
  3. Step 3: Cross multiply
    237.84x = 327.98 × 154.95
  4. Step 4: Simplify right side
    237.84x = 50,819.73
  5. Step 5: Solve for x
    x = 50,819.73/237.84
  6. Step 6: Final answer
    x = 213.67

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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.