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Finding the Fourth Proportional to 243.99, 367.83 and 230.76

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Solution

The fourth proportional to 243.99, 367.83 and 230.76 is: 347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.99 : 367.83 = 230.76 : x
  2. Step 2: Convert to fraction form
    243.99/367.83 = 230.76/x
  3. Step 3: Cross multiply
    243.99x = 367.83 × 230.76
  4. Step 4: Simplify right side
    243.99x = 84,880.45
  5. Step 5: Solve for x
    x = 84,880.45/243.99
  6. Step 6: Final answer
    x = 347.88

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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.