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Finding the Fourth Proportional to 220.98, 304.98 and 138.18

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Solution

The fourth proportional to 220.98, 304.98 and 138.18 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.98 : 304.98 = 138.18 : x
  2. Step 2: Convert to fraction form
    220.98/304.98 = 138.18/x
  3. Step 3: Cross multiply
    220.98x = 304.98 × 138.18
  4. Step 4: Simplify right side
    220.98x = 42,142.14
  5. Step 5: Solve for x
    x = 42,142.14/220.98
  6. Step 6: Final answer
    x = 190.71

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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.