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Finding the Fourth Proportional to 251.54, 377.44 and 114.57

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Solution

The fourth proportional to 251.54, 377.44 and 114.57 is: 171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.54 : 377.44 = 114.57 : x
  2. Step 2: Convert to fraction form
    251.54/377.44 = 114.57/x
  3. Step 3: Cross multiply
    251.54x = 377.44 × 114.57
  4. Step 4: Simplify right side
    251.54x = 43,242.73
  5. Step 5: Solve for x
    x = 43,242.73/251.54
  6. Step 6: Final answer
    x = 171.92

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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.