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Finding the Fourth Proportional to 223.87, 335.82 and 172.84

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Solution

The fourth proportional to 223.87, 335.82 and 172.84 is: 259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.87 : 335.82 = 172.84 : x
  2. Step 2: Convert to fraction form
    223.87/335.82 = 172.84/x
  3. Step 3: Cross multiply
    223.87x = 335.82 × 172.84
  4. Step 4: Simplify right side
    223.87x = 58,043.13
  5. Step 5: Solve for x
    x = 58,043.13/223.87
  6. Step 6: Final answer
    x = 259.27

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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.