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Finding the Fourth Proportional to 223.65, 335.02 and 165.94

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Solution

The fourth proportional to 223.65, 335.02 and 165.94 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.65 : 335.02 = 165.94 : x
  2. Step 2: Convert to fraction form
    223.65/335.02 = 165.94/x
  3. Step 3: Cross multiply
    223.65x = 335.02 × 165.94
  4. Step 4: Simplify right side
    223.65x = 55,593.22
  5. Step 5: Solve for x
    x = 55,593.22/223.65
  6. Step 6: Final answer
    x = 248.57

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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.