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Finding the Fourth Proportional to 251.25, 376.25 and 146.69

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Solution

The fourth proportional to 251.25, 376.25 and 146.69 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.25 : 376.25 = 146.69 : x
  2. Step 2: Convert to fraction form
    251.25/376.25 = 146.69/x
  3. Step 3: Cross multiply
    251.25x = 376.25 × 146.69
  4. Step 4: Simplify right side
    251.25x = 55,193.03
  5. Step 5: Solve for x
    x = 55,193.03/251.25
  6. Step 6: Final answer
    x = 219.67

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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.