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Finding the Fourth Proportional to 238.54, 329.11 and 146.54

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Solution

The fourth proportional to 238.54, 329.11 and 146.54 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 329.11 = 146.54 : x
  2. Step 2: Convert to fraction form
    238.54/329.11 = 146.54/x
  3. Step 3: Cross multiply
    238.54x = 329.11 × 146.54
  4. Step 4: Simplify right side
    238.54x = 48,227.78
  5. Step 5: Solve for x
    x = 48,227.78/238.54
  6. Step 6: Final answer
    x = 202.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.