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Finding the Fourth Proportional to 243.34, 335.78 and 160.31

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Solution

The fourth proportional to 243.34, 335.78 and 160.31 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.34 : 335.78 = 160.31 : x
  2. Step 2: Convert to fraction form
    243.34/335.78 = 160.31/x
  3. Step 3: Cross multiply
    243.34x = 335.78 × 160.31
  4. Step 4: Simplify right side
    243.34x = 53,828.93
  5. Step 5: Solve for x
    x = 53,828.93/243.34
  6. Step 6: Final answer
    x = 221.21

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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.