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Finding the Fourth Proportional to 243.54, 336.18 and 164.92

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Solution

The fourth proportional to 243.54, 336.18 and 164.92 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.54 : 336.18 = 164.92 : x
  2. Step 2: Convert to fraction form
    243.54/336.18 = 164.92/x
  3. Step 3: Cross multiply
    243.54x = 336.18 × 164.92
  4. Step 4: Simplify right side
    243.54x = 55,442.81
  5. Step 5: Solve for x
    x = 55,442.81/243.54
  6. Step 6: Final answer
    x = 227.65

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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.