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Finding the Fourth Proportional to 237.82, 356.74 and 75.49

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Solution

The fourth proportional to 237.82, 356.74 and 75.49 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 356.74 = 75.49 : x
  2. Step 2: Convert to fraction form
    237.82/356.74 = 75.49/x
  3. Step 3: Cross multiply
    237.82x = 356.74 × 75.49
  4. Step 4: Simplify right side
    237.82x = 26,928.14
  5. Step 5: Solve for x
    x = 26,928.14/237.82
  6. Step 6: Final answer
    x = 113.23

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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.