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Finding the Fourth Proportional to 251.88, 377.40 and 179.38

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Solution

The fourth proportional to 251.88, 377.40 and 179.38 is: 268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.88 : 377.40 = 179.38 : x
  2. Step 2: Convert to fraction form
    251.88/377.40 = 179.38/x
  3. Step 3: Cross multiply
    251.88x = 377.40 × 179.38
  4. Step 4: Simplify right side
    251.88x = 67,698.01
  5. Step 5: Solve for x
    x = 67,698.01/251.88
  6. Step 6: Final answer
    x = 268.77

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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.