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Finding the Fourth Proportional to 215.78, 298.23 and 166.64

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Solution

The fourth proportional to 215.78, 298.23 and 166.64 is: 230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 298.23 = 166.64 : x
  2. Step 2: Convert to fraction form
    215.78/298.23 = 166.64/x
  3. Step 3: Cross multiply
    215.78x = 298.23 × 166.64
  4. Step 4: Simplify right side
    215.78x = 49,697.05
  5. Step 5: Solve for x
    x = 49,697.05/215.78
  6. Step 6: Final answer
    x = 230.31

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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.