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Finding the Fourth Proportional to 167.06, 249.13 and 160.99

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Solution

The fourth proportional to 167.06, 249.13 and 160.99 is: 240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 249.13 = 160.99 : x
  2. Step 2: Convert to fraction form
    167.06/249.13 = 160.99/x
  3. Step 3: Cross multiply
    167.06x = 249.13 × 160.99
  4. Step 4: Simplify right side
    167.06x = 40,106.19
  5. Step 5: Solve for x
    x = 40,106.19/167.06
  6. Step 6: Final answer
    x = 240.07

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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.