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Finding the Fourth Proportional to 215.82, 297.96 and 166.60

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Solution

The fourth proportional to 215.82, 297.96 and 166.60 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 297.96 = 166.60 : x
  2. Step 2: Convert to fraction form
    215.82/297.96 = 166.60/x
  3. Step 3: Cross multiply
    215.82x = 297.96 × 166.60
  4. Step 4: Simplify right side
    215.82x = 49,640.14
  5. Step 5: Solve for x
    x = 49,640.14/215.82
  6. Step 6: Final answer
    x = 230.01

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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.