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Finding the Fourth Proportional to 180.93, 250.71 and 178.71

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Solution

The fourth proportional to 180.93, 250.71 and 178.71 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.93 : 250.71 = 178.71 : x
  2. Step 2: Convert to fraction form
    180.93/250.71 = 178.71/x
  3. Step 3: Cross multiply
    180.93x = 250.71 × 178.71
  4. Step 4: Simplify right side
    180.93x = 44,804.38
  5. Step 5: Solve for x
    x = 44,804.38/180.93
  6. Step 6: Final answer
    x = 247.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.