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Finding the Fourth Proportional to 254.89, 351.72 and 149.98

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Solution

The fourth proportional to 254.89, 351.72 and 149.98 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.89 : 351.72 = 149.98 : x
  2. Step 2: Convert to fraction form
    254.89/351.72 = 149.98/x
  3. Step 3: Cross multiply
    254.89x = 351.72 × 149.98
  4. Step 4: Simplify right side
    254.89x = 52,750.97
  5. Step 5: Solve for x
    x = 52,750.97/254.89
  6. Step 6: Final answer
    x = 206.96

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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.