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Finding the Fourth Proportional to 220.14, 303.72 and 132.80

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Solution

The fourth proportional to 220.14, 303.72 and 132.80 is: 183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.14 : 303.72 = 132.80 : x
  2. Step 2: Convert to fraction form
    220.14/303.72 = 132.80/x
  3. Step 3: Cross multiply
    220.14x = 303.72 × 132.80
  4. Step 4: Simplify right side
    220.14x = 40,334.02
  5. Step 5: Solve for x
    x = 40,334.02/220.14
  6. Step 6: Final answer
    x = 183.22

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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.