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Finding the Fourth Proportional to 196.32, 270.64 and 137.92

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Solution

The fourth proportional to 196.32, 270.64 and 137.92 is: 190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 270.64 = 137.92 : x
  2. Step 2: Convert to fraction form
    196.32/270.64 = 137.92/x
  3. Step 3: Cross multiply
    196.32x = 270.64 × 137.92
  4. Step 4: Simplify right side
    196.32x = 37,326.67
  5. Step 5: Solve for x
    x = 37,326.67/196.32
  6. Step 6: Final answer
    x = 190.13

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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.