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Finding the Fourth Proportional to 149.97, 206.99 and 143.13

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Solution

The fourth proportional to 149.97, 206.99 and 143.13 is: 197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.97 : 206.99 = 143.13 : x
  2. Step 2: Convert to fraction form
    149.97/206.99 = 143.13/x
  3. Step 3: Cross multiply
    149.97x = 206.99 × 143.13
  4. Step 4: Simplify right side
    149.97x = 29,625.76
  5. Step 5: Solve for x
    x = 29,625.76/149.97
  6. Step 6: Final answer
    x = 197.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.