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Finding the Fourth Proportional to 197.26, 295.35 and 149.02

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Solution

The fourth proportional to 197.26, 295.35 and 149.02 is: 223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.26 : 295.35 = 149.02 : x
  2. Step 2: Convert to fraction form
    197.26/295.35 = 149.02/x
  3. Step 3: Cross multiply
    197.26x = 295.35 × 149.02
  4. Step 4: Simplify right side
    197.26x = 44,013.06
  5. Step 5: Solve for x
    x = 44,013.06/197.26
  6. Step 6: Final answer
    x = 223.12

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