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Finding the Fourth Proportional to 243.45, 336.09 and 165.18

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Solution

The fourth proportional to 243.45, 336.09 and 165.18 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.45 : 336.09 = 165.18 : x
  2. Step 2: Convert to fraction form
    243.45/336.09 = 165.18/x
  3. Step 3: Cross multiply
    243.45x = 336.09 × 165.18
  4. Step 4: Simplify right side
    243.45x = 55,517.23
  5. Step 5: Solve for x
    x = 55,517.23/243.45
  6. Step 6: Final answer
    x = 228.04

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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.