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Finding the Fourth Proportional to 238.14, 356.74 and 186.53

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Solution

The fourth proportional to 238.14, 356.74 and 186.53 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 356.74 = 186.53 : x
  2. Step 2: Convert to fraction form
    238.14/356.74 = 186.53/x
  3. Step 3: Cross multiply
    238.14x = 356.74 × 186.53
  4. Step 4: Simplify right side
    238.14x = 66,540.46
  5. Step 5: Solve for x
    x = 66,540.46/238.14
  6. Step 6: Final answer
    x = 279.42

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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.