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Finding the Fourth Proportional to 243.72, 336.24 and 160.92

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Solution

The fourth proportional to 243.72, 336.24 and 160.92 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.72 : 336.24 = 160.92 : x
  2. Step 2: Convert to fraction form
    243.72/336.24 = 160.92/x
  3. Step 3: Cross multiply
    243.72x = 336.24 × 160.92
  4. Step 4: Simplify right side
    243.72x = 54,107.74
  5. Step 5: Solve for x
    x = 54,107.74/243.72
  6. Step 6: Final answer
    x = 222.01

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