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Finding the Fourth Proportional to 238.34, 356.81 and 192.77

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Solution

The fourth proportional to 238.34, 356.81 and 192.77 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.34 : 356.81 = 192.77 : x
  2. Step 2: Convert to fraction form
    238.34/356.81 = 192.77/x
  3. Step 3: Cross multiply
    238.34x = 356.81 × 192.77
  4. Step 4: Simplify right side
    238.34x = 68,781.30
  5. Step 5: Solve for x
    x = 68,781.30/238.34
  6. Step 6: Final answer
    x = 288.59

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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.