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Finding the Fourth Proportional to 237.87, 356.27 and 194.67

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Solution

The fourth proportional to 237.87, 356.27 and 194.67 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.87 : 356.27 = 194.67 : x
  2. Step 2: Convert to fraction form
    237.87/356.27 = 194.67/x
  3. Step 3: Cross multiply
    237.87x = 356.27 × 194.67
  4. Step 4: Simplify right side
    237.87x = 69,354.11
  5. Step 5: Solve for x
    x = 69,354.11/237.87
  6. Step 6: Final answer
    x = 291.56

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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.