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Finding the Fourth Proportional to 371.84, 556.48 and 227.84

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Solution

The fourth proportional to 371.84, 556.48 and 227.84 is: 340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.84 : 556.48 = 227.84 : x
  2. Step 2: Convert to fraction form
    371.84/556.48 = 227.84/x
  3. Step 3: Cross multiply
    371.84x = 556.48 × 227.84
  4. Step 4: Simplify right side
    371.84x = 126,788.40
  5. Step 5: Solve for x
    x = 126,788.40/371.84
  6. Step 6: Final answer
    x = 340.98

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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.