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Finding the Fourth Proportional to 229.23, 343.31 and 175.10

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Solution

The fourth proportional to 229.23, 343.31 and 175.10 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 343.31 = 175.10 : x
  2. Step 2: Convert to fraction form
    229.23/343.31 = 175.10/x
  3. Step 3: Cross multiply
    229.23x = 343.31 × 175.10
  4. Step 4: Simplify right side
    229.23x = 60,110.99
  5. Step 5: Solve for x
    x = 60,110.99/229.23
  6. Step 6: Final answer
    x = 262.23

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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.