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Finding the Fourth Proportional to 167.09, 248.34 and 154.13

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Solution

The fourth proportional to 167.09, 248.34 and 154.13 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.09 : 248.34 = 154.13 : x
  2. Step 2: Convert to fraction form
    167.09/248.34 = 154.13/x
  3. Step 3: Cross multiply
    167.09x = 248.34 × 154.13
  4. Step 4: Simplify right side
    167.09x = 38,275.87
  5. Step 5: Solve for x
    x = 38,275.87/167.09
  6. Step 6: Final answer
    x = 229.07

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