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Finding the Fourth Proportional to 238.76, 329.45 and 133.82

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Solution

The fourth proportional to 238.76, 329.45 and 133.82 is: 184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.76 : 329.45 = 133.82 : x
  2. Step 2: Convert to fraction form
    238.76/329.45 = 133.82/x
  3. Step 3: Cross multiply
    238.76x = 329.45 × 133.82
  4. Step 4: Simplify right side
    238.76x = 44,087.00
  5. Step 5: Solve for x
    x = 44,087.00/238.76
  6. Step 6: Final answer
    x = 184.65

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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.