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Finding the Fourth Proportional to 251.67, 377.78 and 183.23

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Solution

The fourth proportional to 251.67, 377.78 and 183.23 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.67 : 377.78 = 183.23 : x
  2. Step 2: Convert to fraction form
    251.67/377.78 = 183.23/x
  3. Step 3: Cross multiply
    251.67x = 377.78 × 183.23
  4. Step 4: Simplify right side
    251.67x = 69,217.82
  5. Step 5: Solve for x
    x = 69,217.82/251.67
  6. Step 6: Final answer
    x = 275.03

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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.