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Finding the Fourth Proportional to 251.18, 376.52 and 178.06

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Solution

The fourth proportional to 251.18, 376.52 and 178.06 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.18 : 376.52 = 178.06 : x
  2. Step 2: Convert to fraction form
    251.18/376.52 = 178.06/x
  3. Step 3: Cross multiply
    251.18x = 376.52 × 178.06
  4. Step 4: Simplify right side
    251.18x = 67,043.15
  5. Step 5: Solve for x
    x = 67,043.15/251.18
  6. Step 6: Final answer
    x = 266.91

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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.