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Finding the Fourth Proportional to 227.52, 341.42 and 136.17

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Solution

The fourth proportional to 227.52, 341.42 and 136.17 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 341.42 = 136.17 : x
  2. Step 2: Convert to fraction form
    227.52/341.42 = 136.17/x
  3. Step 3: Cross multiply
    227.52x = 341.42 × 136.17
  4. Step 4: Simplify right side
    227.52x = 46,490.48
  5. Step 5: Solve for x
    x = 46,490.48/227.52
  6. Step 6: Final answer
    x = 204.34

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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.