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Finding the Fourth Proportional to 230.18, 346.96 and 226.94

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Solution

The fourth proportional to 230.18, 346.96 and 226.94 is: 342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.18 : 346.96 = 226.94 : x
  2. Step 2: Convert to fraction form
    230.18/346.96 = 226.94/x
  3. Step 3: Cross multiply
    230.18x = 346.96 × 226.94
  4. Step 4: Simplify right side
    230.18x = 78,739.10
  5. Step 5: Solve for x
    x = 78,739.10/230.18
  6. Step 6: Final answer
    x = 342.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.