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Finding the Fourth Proportional to 238.18, 356.79 and 189.51

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Solution

The fourth proportional to 238.18, 356.79 and 189.51 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.18 : 356.79 = 189.51 : x
  2. Step 2: Convert to fraction form
    238.18/356.79 = 189.51/x
  3. Step 3: Cross multiply
    238.18x = 356.79 × 189.51
  4. Step 4: Simplify right side
    238.18x = 67,615.27
  5. Step 5: Solve for x
    x = 67,615.27/238.18
  6. Step 6: Final answer
    x = 283.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.