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Finding the Fourth Proportional to 182.71, 250.78 and 167.14

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Solution

The fourth proportional to 182.71, 250.78 and 167.14 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.71 : 250.78 = 167.14 : x
  2. Step 2: Convert to fraction form
    182.71/250.78 = 167.14/x
  3. Step 3: Cross multiply
    182.71x = 250.78 × 167.14
  4. Step 4: Simplify right side
    182.71x = 41,914.95
  5. Step 5: Solve for x
    x = 41,914.95/182.71
  6. Step 6: Final answer
    x = 229.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.