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Finding the Fourth Proportional to 238.41, 356.90 and 215.60

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Solution

The fourth proportional to 238.41, 356.90 and 215.60 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 356.90 = 215.60 : x
  2. Step 2: Convert to fraction form
    238.41/356.90 = 215.60/x
  3. Step 3: Cross multiply
    238.41x = 356.90 × 215.60
  4. Step 4: Simplify right side
    238.41x = 76,944.78
  5. Step 5: Solve for x
    x = 76,944.78/238.41
  6. Step 6: Final answer
    x = 322.74

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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.