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Finding the Fourth Proportional to 167.18, 248.79 and 160.70

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Solution

The fourth proportional to 167.18, 248.79 and 160.70 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 248.79 = 160.70 : x
  2. Step 2: Convert to fraction form
    167.18/248.79 = 160.70/x
  3. Step 3: Cross multiply
    167.18x = 248.79 × 160.70
  4. Step 4: Simplify right side
    167.18x = 39,979.75
  5. Step 5: Solve for x
    x = 39,979.75/167.18
  6. Step 6: Final answer
    x = 239.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.