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Finding the Fourth Proportional to 219.83, 303.25 and 132.48

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Solution

The fourth proportional to 219.83, 303.25 and 132.48 is: 182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.83 : 303.25 = 132.48 : x
  2. Step 2: Convert to fraction form
    219.83/303.25 = 132.48/x
  3. Step 3: Cross multiply
    219.83x = 303.25 × 132.48
  4. Step 4: Simplify right side
    219.83x = 40,174.56
  5. Step 5: Solve for x
    x = 40,174.56/219.83
  6. Step 6: Final answer
    x = 182.75

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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.