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Finding the Fourth Proportional to 251.12, 376.01 and 177.59

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Solution

The fourth proportional to 251.12, 376.01 and 177.59 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.12 : 376.01 = 177.59 : x
  2. Step 2: Convert to fraction form
    251.12/376.01 = 177.59/x
  3. Step 3: Cross multiply
    251.12x = 376.01 × 177.59
  4. Step 4: Simplify right side
    251.12x = 66,774.73
  5. Step 5: Solve for x
    x = 66,774.73/251.12
  6. Step 6: Final answer
    x = 265.91

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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.