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Finding the Fourth Proportional to 197.78, 272.95 and 110.46

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Solution

The fourth proportional to 197.78, 272.95 and 110.46 is: 152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 272.95 = 110.46 : x
  2. Step 2: Convert to fraction form
    197.78/272.95 = 110.46/x
  3. Step 3: Cross multiply
    197.78x = 272.95 × 110.46
  4. Step 4: Simplify right side
    197.78x = 30,150.06
  5. Step 5: Solve for x
    x = 30,150.06/197.78
  6. Step 6: Final answer
    x = 152.44

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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.