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Finding the Fourth Proportional to 230.18, 343.19 and 226.07

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Solution

The fourth proportional to 230.18, 343.19 and 226.07 is: 337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.18 : 343.19 = 226.07 : x
  2. Step 2: Convert to fraction form
    230.18/343.19 = 226.07/x
  3. Step 3: Cross multiply
    230.18x = 343.19 × 226.07
  4. Step 4: Simplify right side
    230.18x = 77,582.12
  5. Step 5: Solve for x
    x = 77,582.12/230.18
  6. Step 6: Final answer
    x = 337.06

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Why These Related Problems?

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