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Finding the Fourth Proportional to 196.46, 271.05 and 137.47

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Solution

The fourth proportional to 196.46, 271.05 and 137.47 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.46 : 271.05 = 137.47 : x
  2. Step 2: Convert to fraction form
    196.46/271.05 = 137.47/x
  3. Step 3: Cross multiply
    196.46x = 271.05 × 137.47
  4. Step 4: Simplify right side
    196.46x = 37,259.89
  5. Step 5: Solve for x
    x = 37,259.89/196.46
  6. Step 6: Final answer
    x = 189.66

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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.