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Finding the Fourth Proportional to 254.99, 351.47 and 202.75

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Solution

The fourth proportional to 254.99, 351.47 and 202.75 is: 279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.99 : 351.47 = 202.75 : x
  2. Step 2: Convert to fraction form
    254.99/351.47 = 202.75/x
  3. Step 3: Cross multiply
    254.99x = 351.47 × 202.75
  4. Step 4: Simplify right side
    254.99x = 71,260.17
  5. Step 5: Solve for x
    x = 71,260.17/254.99
  6. Step 6: Final answer
    x = 279.46

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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.