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Finding the Fourth Proportional to 220.80, 329.46 and 188.16

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Solution

The fourth proportional to 220.80, 329.46 and 188.16 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.80 : 329.46 = 188.16 : x
  2. Step 2: Convert to fraction form
    220.80/329.46 = 188.16/x
  3. Step 3: Cross multiply
    220.80x = 329.46 × 188.16
  4. Step 4: Simplify right side
    220.80x = 61,991.19
  5. Step 5: Solve for x
    x = 61,991.19/220.80
  6. Step 6: Final answer
    x = 280.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.