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Finding the Fourth Proportional to 229.86, 344.18 and 193.41

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Solution

The fourth proportional to 229.86, 344.18 and 193.41 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 344.18 = 193.41 : x
  2. Step 2: Convert to fraction form
    229.86/344.18 = 193.41/x
  3. Step 3: Cross multiply
    229.86x = 344.18 × 193.41
  4. Step 4: Simplify right side
    229.86x = 66,568.34
  5. Step 5: Solve for x
    x = 66,568.34/229.86
  6. Step 6: Final answer
    x = 289.60

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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.