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Finding the Fourth Proportional to 197.01, 295.58 and 177.98

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Solution

The fourth proportional to 197.01, 295.58 and 177.98 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.01 : 295.58 = 177.98 : x
  2. Step 2: Convert to fraction form
    197.01/295.58 = 177.98/x
  3. Step 3: Cross multiply
    197.01x = 295.58 × 177.98
  4. Step 4: Simplify right side
    197.01x = 52,604.96
  5. Step 5: Solve for x
    x = 52,604.96/197.01
  6. Step 6: Final answer
    x = 267.02

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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.