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Finding the Fourth Proportional to 215.93, 298.05 and 138.44

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Solution

The fourth proportional to 215.93, 298.05 and 138.44 is: 191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 298.05 = 138.44 : x
  2. Step 2: Convert to fraction form
    215.93/298.05 = 138.44/x
  3. Step 3: Cross multiply
    215.93x = 298.05 × 138.44
  4. Step 4: Simplify right side
    215.93x = 41,262.27
  5. Step 5: Solve for x
    x = 41,262.27/215.93
  6. Step 6: Final answer
    x = 191.09

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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.