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Finding the Fourth Proportional to 254.02, 350.25 and 217.06

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Solution

The fourth proportional to 254.02, 350.25 and 217.06 is: 299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 350.25 = 217.06 : x
  2. Step 2: Convert to fraction form
    254.02/350.25 = 217.06/x
  3. Step 3: Cross multiply
    254.02x = 350.25 × 217.06
  4. Step 4: Simplify right side
    254.02x = 76,025.27
  5. Step 5: Solve for x
    x = 76,025.27/254.02
  6. Step 6: Final answer
    x = 299.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.