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Finding the Fourth Proportional to 197.60, 296.48 and 177.60

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Solution

The fourth proportional to 197.60, 296.48 and 177.60 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 296.48 = 177.60 : x
  2. Step 2: Convert to fraction form
    197.60/296.48 = 177.60/x
  3. Step 3: Cross multiply
    197.60x = 296.48 × 177.60
  4. Step 4: Simplify right side
    197.60x = 52,654.85
  5. Step 5: Solve for x
    x = 52,654.85/197.60
  6. Step 6: Final answer
    x = 266.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.