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Finding the Fourth Proportional to 215.82, 297.93 and 138.20

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Solution

The fourth proportional to 215.82, 297.93 and 138.20 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 297.93 = 138.20 : x
  2. Step 2: Convert to fraction form
    215.82/297.93 = 138.20/x
  3. Step 3: Cross multiply
    215.82x = 297.93 × 138.20
  4. Step 4: Simplify right side
    215.82x = 41,172.44
  5. Step 5: Solve for x
    x = 41,172.44/215.82
  6. Step 6: Final answer
    x = 190.77

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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.