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Finding the Fourth Proportional to 254.80, 351.64 and 144.28

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Solution

The fourth proportional to 254.80, 351.64 and 144.28 is: 199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 351.64 = 144.28 : x
  2. Step 2: Convert to fraction form
    254.80/351.64 = 144.28/x
  3. Step 3: Cross multiply
    254.80x = 351.64 × 144.28
  4. Step 4: Simplify right side
    254.80x = 50,734.62
  5. Step 5: Solve for x
    x = 50,734.62/254.80
  6. Step 6: Final answer
    x = 199.12

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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.