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Finding the Fourth Proportional to 215.73, 297.83 and 132.94

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Solution

The fourth proportional to 215.73, 297.83 and 132.94 is: 183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.73 : 297.83 = 132.94 : x
  2. Step 2: Convert to fraction form
    215.73/297.83 = 132.94/x
  3. Step 3: Cross multiply
    215.73x = 297.83 × 132.94
  4. Step 4: Simplify right side
    215.73x = 39,594.60
  5. Step 5: Solve for x
    x = 39,594.60/215.73
  6. Step 6: Final answer
    x = 183.54

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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.