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Finding the Fourth Proportional to 223.21, 334.70 and 82.45

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Solution

The fourth proportional to 223.21, 334.70 and 82.45 is: 123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.21 : 334.70 = 82.45 : x
  2. Step 2: Convert to fraction form
    223.21/334.70 = 82.45/x
  3. Step 3: Cross multiply
    223.21x = 334.70 × 82.45
  4. Step 4: Simplify right side
    223.21x = 27,596.02
  5. Step 5: Solve for x
    x = 27,596.02/223.21
  6. Step 6: Final answer
    x = 123.63

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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.