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Finding the Fourth Proportional to 230.81, 343.99 and 223.01

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Solution

The fourth proportional to 230.81, 343.99 and 223.01 is: 332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 343.99 = 223.01 : x
  2. Step 2: Convert to fraction form
    230.81/343.99 = 223.01/x
  3. Step 3: Cross multiply
    230.81x = 343.99 × 223.01
  4. Step 4: Simplify right side
    230.81x = 76,712.09
  5. Step 5: Solve for x
    x = 76,712.09/230.81
  6. Step 6: Final answer
    x = 332.36

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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.