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Finding the Fourth Proportional to 220.82, 304.53 and 137.93

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Solution

The fourth proportional to 220.82, 304.53 and 137.93 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 304.53 = 137.93 : x
  2. Step 2: Convert to fraction form
    220.82/304.53 = 137.93/x
  3. Step 3: Cross multiply
    220.82x = 304.53 × 137.93
  4. Step 4: Simplify right side
    220.82x = 42,003.13
  5. Step 5: Solve for x
    x = 42,003.13/220.82
  6. Step 6: Final answer
    x = 190.22

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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.