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Finding the Fourth Proportional to 254.47, 351.29 and 199.56

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Solution

The fourth proportional to 254.47, 351.29 and 199.56 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.47 : 351.29 = 199.56 : x
  2. Step 2: Convert to fraction form
    254.47/351.29 = 199.56/x
  3. Step 3: Cross multiply
    254.47x = 351.29 × 199.56
  4. Step 4: Simplify right side
    254.47x = 70,104.13
  5. Step 5: Solve for x
    x = 70,104.13/254.47
  6. Step 6: Final answer
    x = 275.49

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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.