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Finding the Fourth Proportional to 197.60, 272.74 and 160.72

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Solution

The fourth proportional to 197.60, 272.74 and 160.72 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 272.74 = 160.72 : x
  2. Step 2: Convert to fraction form
    197.60/272.74 = 160.72/x
  3. Step 3: Cross multiply
    197.60x = 272.74 × 160.72
  4. Step 4: Simplify right side
    197.60x = 43,834.77
  5. Step 5: Solve for x
    x = 43,834.77/197.60
  6. Step 6: Final answer
    x = 221.84

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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.