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Finding the Fourth Proportional to 254.16, 349.97 and 217.23

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Solution

The fourth proportional to 254.16, 349.97 and 217.23 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 349.97 = 217.23 : x
  2. Step 2: Convert to fraction form
    254.16/349.97 = 217.23/x
  3. Step 3: Cross multiply
    254.16x = 349.97 × 217.23
  4. Step 4: Simplify right side
    254.16x = 76,022.90
  5. Step 5: Solve for x
    x = 76,022.90/254.16
  6. Step 6: Final answer
    x = 299.11

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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.