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Finding the Fourth Proportional to 197.66, 296.82 and 177.80

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Solution

The fourth proportional to 197.66, 296.82 and 177.80 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.66 : 296.82 = 177.80 : x
  2. Step 2: Convert to fraction form
    197.66/296.82 = 177.80/x
  3. Step 3: Cross multiply
    197.66x = 296.82 × 177.80
  4. Step 4: Simplify right side
    197.66x = 52,774.60
  5. Step 5: Solve for x
    x = 52,774.60/197.66
  6. Step 6: Final answer
    x = 267.00

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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.