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Finding the Fourth Proportional to 230.08, 344.62 and 143.43

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Solution

The fourth proportional to 230.08, 344.62 and 143.43 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.08 : 344.62 = 143.43 : x
  2. Step 2: Convert to fraction form
    230.08/344.62 = 143.43/x
  3. Step 3: Cross multiply
    230.08x = 344.62 × 143.43
  4. Step 4: Simplify right side
    230.08x = 49,428.49
  5. Step 5: Solve for x
    x = 49,428.49/230.08
  6. Step 6: Final answer
    x = 214.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.