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Finding the Fourth Proportional to 238.88, 329.66 and 135.38

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Solution

The fourth proportional to 238.88, 329.66 and 135.38 is: 186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 329.66 = 135.38 : x
  2. Step 2: Convert to fraction form
    238.88/329.66 = 135.38/x
  3. Step 3: Cross multiply
    238.88x = 329.66 × 135.38
  4. Step 4: Simplify right side
    238.88x = 44,627.05
  5. Step 5: Solve for x
    x = 44,627.05/238.88
  6. Step 6: Final answer
    x = 186.82

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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.