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Finding the Fourth Proportional to 230.77, 343.93 and 217.44

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Solution

The fourth proportional to 230.77, 343.93 and 217.44 is: 324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 343.93 = 217.44 : x
  2. Step 2: Convert to fraction form
    230.77/343.93 = 217.44/x
  3. Step 3: Cross multiply
    230.77x = 343.93 × 217.44
  4. Step 4: Simplify right side
    230.77x = 74,784.57
  5. Step 5: Solve for x
    x = 74,784.57/230.77
  6. Step 6: Final answer
    x = 324.06

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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.