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Finding the Fourth Proportional to 251.00, 346.21 and 180.94

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Solution

The fourth proportional to 251.00, 346.21 and 180.94 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.00 : 346.21 = 180.94 : x
  2. Step 2: Convert to fraction form
    251.00/346.21 = 180.94/x
  3. Step 3: Cross multiply
    251.00x = 346.21 × 180.94
  4. Step 4: Simplify right side
    251.00x = 62,644.24
  5. Step 5: Solve for x
    x = 62,644.24/251.00
  6. Step 6: Final answer
    x = 249.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.