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Finding the Fourth Proportional to 227.78, 341.82 and 90.94

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Solution

The fourth proportional to 227.78, 341.82 and 90.94 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.78 : 341.82 = 90.94 : x
  2. Step 2: Convert to fraction form
    227.78/341.82 = 90.94/x
  3. Step 3: Cross multiply
    227.78x = 341.82 × 90.94
  4. Step 4: Simplify right side
    227.78x = 31,085.11
  5. Step 5: Solve for x
    x = 31,085.11/227.78
  6. Step 6: Final answer
    x = 136.47

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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.