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Finding the Fourth Proportional to 215.42, 297.21 and 137.78

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Solution

The fourth proportional to 215.42, 297.21 and 137.78 is: 190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 297.21 = 137.78 : x
  2. Step 2: Convert to fraction form
    215.42/297.21 = 137.78/x
  3. Step 3: Cross multiply
    215.42x = 297.21 × 137.78
  4. Step 4: Simplify right side
    215.42x = 40,949.59
  5. Step 5: Solve for x
    x = 40,949.59/215.42
  6. Step 6: Final answer
    x = 190.09

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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.