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Finding the Fourth Proportional to 137.22, 204.96 and 130.34

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Solution

The fourth proportional to 137.22, 204.96 and 130.34 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.22 : 204.96 = 130.34 : x
  2. Step 2: Convert to fraction form
    137.22/204.96 = 130.34/x
  3. Step 3: Cross multiply
    137.22x = 204.96 × 130.34
  4. Step 4: Simplify right side
    137.22x = 26,713.46
  5. Step 5: Solve for x
    x = 26,713.46/137.22
  6. Step 6: Final answer
    x = 194.68

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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.