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Finding the Fourth Proportional to 197.95, 272.55 and 162.86

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Solution

The fourth proportional to 197.95, 272.55 and 162.86 is: 224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.95 : 272.55 = 162.86 : x
  2. Step 2: Convert to fraction form
    197.95/272.55 = 162.86/x
  3. Step 3: Cross multiply
    197.95x = 272.55 × 162.86
  4. Step 4: Simplify right side
    197.95x = 44,387.41
  5. Step 5: Solve for x
    x = 44,387.41/197.95
  6. Step 6: Final answer
    x = 224.24

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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.