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Finding the Fourth Proportional to 227.99, 341.69 and 83.57

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Solution

The fourth proportional to 227.99, 341.69 and 83.57 is: 125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.99 : 341.69 = 83.57 : x
  2. Step 2: Convert to fraction form
    227.99/341.69 = 83.57/x
  3. Step 3: Cross multiply
    227.99x = 341.69 × 83.57
  4. Step 4: Simplify right side
    227.99x = 28,554.62
  5. Step 5: Solve for x
    x = 28,554.62/227.99
  6. Step 6: Final answer
    x = 125.25

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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.