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Finding the Fourth Proportional to 196.66, 271.31 and 134.53

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Solution

The fourth proportional to 196.66, 271.31 and 134.53 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 271.31 = 134.53 : x
  2. Step 2: Convert to fraction form
    196.66/271.31 = 134.53/x
  3. Step 3: Cross multiply
    196.66x = 271.31 × 134.53
  4. Step 4: Simplify right side
    196.66x = 36,498.99
  5. Step 5: Solve for x
    x = 36,498.99/196.66
  6. Step 6: Final answer
    x = 185.60

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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.