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Finding the Fourth Proportional to 251.85, 377.75 and 89.53

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Solution

The fourth proportional to 251.85, 377.75 and 89.53 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.85 : 377.75 = 89.53 : x
  2. Step 2: Convert to fraction form
    251.85/377.75 = 89.53/x
  3. Step 3: Cross multiply
    251.85x = 377.75 × 89.53
  4. Step 4: Simplify right side
    251.85x = 33,819.96
  5. Step 5: Solve for x
    x = 33,819.96/251.85
  6. Step 6: Final answer
    x = 134.29

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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.