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Finding the Fourth Proportional to 220.88, 304.74 and 137.96

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Solution

The fourth proportional to 220.88, 304.74 and 137.96 is: 190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.88 : 304.74 = 137.96 : x
  2. Step 2: Convert to fraction form
    220.88/304.74 = 137.96/x
  3. Step 3: Cross multiply
    220.88x = 304.74 × 137.96
  4. Step 4: Simplify right side
    220.88x = 42,041.93
  5. Step 5: Solve for x
    x = 42,041.93/220.88
  6. Step 6: Final answer
    x = 190.34

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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.