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Finding the Fourth Proportional to 254.08, 350.64 and 217.22

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Solution

The fourth proportional to 254.08, 350.64 and 217.22 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.08 : 350.64 = 217.22 : x
  2. Step 2: Convert to fraction form
    254.08/350.64 = 217.22/x
  3. Step 3: Cross multiply
    254.08x = 350.64 × 217.22
  4. Step 4: Simplify right side
    254.08x = 76,166.02
  5. Step 5: Solve for x
    x = 76,166.02/254.08
  6. Step 6: Final answer
    x = 299.77

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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.