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Finding the Fourth Proportional to 251.52, 346.96 and 158.09

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Solution

The fourth proportional to 251.52, 346.96 and 158.09 is: 218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.52 : 346.96 = 158.09 : x
  2. Step 2: Convert to fraction form
    251.52/346.96 = 158.09/x
  3. Step 3: Cross multiply
    251.52x = 346.96 × 158.09
  4. Step 4: Simplify right side
    251.52x = 54,849.37
  5. Step 5: Solve for x
    x = 54,849.37/251.52
  6. Step 6: Final answer
    x = 218.07

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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.