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Finding the Fourth Proportional to 230.39, 343.90 and 203.05

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Solution

The fourth proportional to 230.39, 343.90 and 203.05 is: 303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.39 : 343.90 = 203.05 : x
  2. Step 2: Convert to fraction form
    230.39/343.90 = 203.05/x
  3. Step 3: Cross multiply
    230.39x = 343.90 × 203.05
  4. Step 4: Simplify right side
    230.39x = 69,829.75
  5. Step 5: Solve for x
    x = 69,829.75/230.39
  6. Step 6: Final answer
    x = 303.09

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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.