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Finding the Fourth Proportional to 230.49, 347.74 and 224.01

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Solution

The fourth proportional to 230.49, 347.74 and 224.01 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 347.74 = 224.01 : x
  2. Step 2: Convert to fraction form
    230.49/347.74 = 224.01/x
  3. Step 3: Cross multiply
    230.49x = 347.74 × 224.01
  4. Step 4: Simplify right side
    230.49x = 77,896.68
  5. Step 5: Solve for x
    x = 77,896.68/230.49
  6. Step 6: Final answer
    x = 337.96

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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.