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Finding the Fourth Proportional to 230.46, 343.99 and 203.12

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Solution

The fourth proportional to 230.46, 343.99 and 203.12 is: 303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.46 : 343.99 = 203.12 : x
  2. Step 2: Convert to fraction form
    230.46/343.99 = 203.12/x
  3. Step 3: Cross multiply
    230.46x = 343.99 × 203.12
  4. Step 4: Simplify right side
    230.46x = 69,870.04
  5. Step 5: Solve for x
    x = 69,870.04/230.46
  6. Step 6: Final answer
    x = 303.18

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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.