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Finding the Fourth Proportional to 197.51, 272.55 and 108.98

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Solution

The fourth proportional to 197.51, 272.55 and 108.98 is: 150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.51 : 272.55 = 108.98 : x
  2. Step 2: Convert to fraction form
    197.51/272.55 = 108.98/x
  3. Step 3: Cross multiply
    197.51x = 272.55 × 108.98
  4. Step 4: Simplify right side
    197.51x = 29,701.95
  5. Step 5: Solve for x
    x = 29,701.95/197.51
  6. Step 6: Final answer
    x = 150.39

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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.