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Finding the Fourth Proportional to 220.80, 304.76 and 137.86

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Solution

The fourth proportional to 220.80, 304.76 and 137.86 is: 190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.80 : 304.76 = 137.86 : x
  2. Step 2: Convert to fraction form
    220.80/304.76 = 137.86/x
  3. Step 3: Cross multiply
    220.80x = 304.76 × 137.86
  4. Step 4: Simplify right side
    220.80x = 42,014.05
  5. Step 5: Solve for x
    x = 42,014.05/220.80
  6. Step 6: Final answer
    x = 190.28

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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.