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Finding the Fourth Proportional to 196.66, 272.65 and 193.60

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Solution

The fourth proportional to 196.66, 272.65 and 193.60 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 272.65 = 193.60 : x
  2. Step 2: Convert to fraction form
    196.66/272.65 = 193.60/x
  3. Step 3: Cross multiply
    196.66x = 272.65 × 193.60
  4. Step 4: Simplify right side
    196.66x = 52,785.04
  5. Step 5: Solve for x
    x = 52,785.04/196.66
  6. Step 6: Final answer
    x = 268.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.