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Finding the Fourth Proportional to 237.94, 356.83 and 83.78

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Solution

The fourth proportional to 237.94, 356.83 and 83.78 is: 125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 356.83 = 83.78 : x
  2. Step 2: Convert to fraction form
    237.94/356.83 = 83.78/x
  3. Step 3: Cross multiply
    237.94x = 356.83 × 83.78
  4. Step 4: Simplify right side
    237.94x = 29,895.22
  5. Step 5: Solve for x
    x = 29,895.22/237.94
  6. Step 6: Final answer
    x = 125.64

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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.