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Finding the Fourth Proportional to 223.97, 336.09 and 142.84

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Solution

The fourth proportional to 223.97, 336.09 and 142.84 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.97 : 336.09 = 142.84 : x
  2. Step 2: Convert to fraction form
    223.97/336.09 = 142.84/x
  3. Step 3: Cross multiply
    223.97x = 336.09 × 142.84
  4. Step 4: Simplify right side
    223.97x = 48,007.10
  5. Step 5: Solve for x
    x = 48,007.10/223.97
  6. Step 6: Final answer
    x = 214.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.