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Finding the Fourth Proportional to 231.06, 344.37 and 229.16

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Solution

The fourth proportional to 231.06, 344.37 and 229.16 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.06 : 344.37 = 229.16 : x
  2. Step 2: Convert to fraction form
    231.06/344.37 = 229.16/x
  3. Step 3: Cross multiply
    231.06x = 344.37 × 229.16
  4. Step 4: Simplify right side
    231.06x = 78,914.11
  5. Step 5: Solve for x
    x = 78,914.11/231.06
  6. Step 6: Final answer
    x = 341.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.