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Finding the Fourth Proportional to 243.16, 335.61 and 160.27

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Solution

The fourth proportional to 243.16, 335.61 and 160.27 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 335.61 = 160.27 : x
  2. Step 2: Convert to fraction form
    243.16/335.61 = 160.27/x
  3. Step 3: Cross multiply
    243.16x = 335.61 × 160.27
  4. Step 4: Simplify right side
    243.16x = 53,788.21
  5. Step 5: Solve for x
    x = 53,788.21/243.16
  6. Step 6: Final answer
    x = 221.21

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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.