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Finding the Fourth Proportional to 254.70, 351.66 and 192.87

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Solution

The fourth proportional to 254.70, 351.66 and 192.87 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.70 : 351.66 = 192.87 : x
  2. Step 2: Convert to fraction form
    254.70/351.66 = 192.87/x
  3. Step 3: Cross multiply
    254.70x = 351.66 × 192.87
  4. Step 4: Simplify right side
    254.70x = 67,824.21
  5. Step 5: Solve for x
    x = 67,824.21/254.70
  6. Step 6: Final answer
    x = 266.29

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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.