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Finding the Fourth Proportional to 197.84, 272.93 and 138.93

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Solution

The fourth proportional to 197.84, 272.93 and 138.93 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 272.93 = 138.93 : x
  2. Step 2: Convert to fraction form
    197.84/272.93 = 138.93/x
  3. Step 3: Cross multiply
    197.84x = 272.93 × 138.93
  4. Step 4: Simplify right side
    197.84x = 37,917.47
  5. Step 5: Solve for x
    x = 37,917.47/197.84
  6. Step 6: Final answer
    x = 191.66

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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.