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Finding the Fourth Proportional to 238.54, 356.90 and 135.87

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Solution

The fourth proportional to 238.54, 356.90 and 135.87 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 356.90 = 135.87 : x
  2. Step 2: Convert to fraction form
    238.54/356.90 = 135.87/x
  3. Step 3: Cross multiply
    238.54x = 356.90 × 135.87
  4. Step 4: Simplify right side
    238.54x = 48,493.17
  5. Step 5: Solve for x
    x = 48,493.17/238.54
  6. Step 6: Final answer
    x = 203.29

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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.