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Finding the Fourth Proportional to 167.93, 250.14 and 165.83

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Solution

The fourth proportional to 167.93, 250.14 and 165.83 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.93 : 250.14 = 165.83 : x
  2. Step 2: Convert to fraction form
    167.93/250.14 = 165.83/x
  3. Step 3: Cross multiply
    167.93x = 250.14 × 165.83
  4. Step 4: Simplify right side
    167.93x = 41,479.89
  5. Step 5: Solve for x
    x = 41,479.89/167.93
  6. Step 6: Final answer
    x = 247.01

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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.