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Finding the Fourth Proportional to 243, 335.34 and 165.38

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Solution

The fourth proportional to 243, 335.34 and 165.38 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 335.34 = 165.38 : x
  2. Step 2: Convert to fraction form
    243/335.34 = 165.38/x
  3. Step 3: Cross multiply
    243x = 335.34 × 165.38
  4. Step 4: Simplify right side
    243x = 55,456.85
  5. Step 5: Solve for x
    x = 55,456.85/243
  6. Step 6: Final answer
    x = 228.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.