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Finding the Fourth Proportional to 197.03, 294.11 and 177.45

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Solution

The fourth proportional to 197.03, 294.11 and 177.45 is: 264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 294.11 = 177.45 : x
  2. Step 2: Convert to fraction form
    197.03/294.11 = 177.45/x
  3. Step 3: Cross multiply
    197.03x = 294.11 × 177.45
  4. Step 4: Simplify right side
    197.03x = 52,188.93
  5. Step 5: Solve for x
    x = 52,188.93/197.03
  6. Step 6: Final answer
    x = 264.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.