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Finding the Fourth Proportional to 227.54, 341.22 and 97.47

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Solution

The fourth proportional to 227.54, 341.22 and 97.47 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 341.22 = 97.47 : x
  2. Step 2: Convert to fraction form
    227.54/341.22 = 97.47/x
  3. Step 3: Cross multiply
    227.54x = 341.22 × 97.47
  4. Step 4: Simplify right side
    227.54x = 33,258.71
  5. Step 5: Solve for x
    x = 33,258.71/227.54
  6. Step 6: Final answer
    x = 146.17

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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.