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Finding the Fourth Proportional to 251.70, 377.49 and 114.71

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Solution

The fourth proportional to 251.70, 377.49 and 114.71 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 377.49 = 114.71 : x
  2. Step 2: Convert to fraction form
    251.70/377.49 = 114.71/x
  3. Step 3: Cross multiply
    251.70x = 377.49 × 114.71
  4. Step 4: Simplify right side
    251.70x = 43,301.88
  5. Step 5: Solve for x
    x = 43,301.88/251.70
  6. Step 6: Final answer
    x = 172.04

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Why These Related Problems?

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