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Finding the Fourth Proportional to 229.48, 343.54 and 190.60

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Solution

The fourth proportional to 229.48, 343.54 and 190.60 is: 285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 343.54 = 190.60 : x
  2. Step 2: Convert to fraction form
    229.48/343.54 = 190.60/x
  3. Step 3: Cross multiply
    229.48x = 343.54 × 190.60
  4. Step 4: Simplify right side
    229.48x = 65,478.72
  5. Step 5: Solve for x
    x = 65,478.72/229.48
  6. Step 6: Final answer
    x = 285.34

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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.