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Finding the Fourth Proportional to 251.74, 377.45 and 121.71

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Solution

The fourth proportional to 251.74, 377.45 and 121.71 is: 182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 377.45 = 121.71 : x
  2. Step 2: Convert to fraction form
    251.74/377.45 = 121.71/x
  3. Step 3: Cross multiply
    251.74x = 377.45 × 121.71
  4. Step 4: Simplify right side
    251.74x = 45,936.94
  5. Step 5: Solve for x
    x = 45,936.94/251.74
  6. Step 6: Final answer
    x = 182.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.