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Finding the Fourth Proportional to 251.48, 377.17 and 141.84

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Solution

The fourth proportional to 251.48, 377.17 and 141.84 is: 212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.48 : 377.17 = 141.84 : x
  2. Step 2: Convert to fraction form
    251.48/377.17 = 141.84/x
  3. Step 3: Cross multiply
    251.48x = 377.17 × 141.84
  4. Step 4: Simplify right side
    251.48x = 53,497.08
  5. Step 5: Solve for x
    x = 53,497.08/251.48
  6. Step 6: Final answer
    x = 212.73

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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.