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Finding the Fourth Proportional to 254.07, 350.81 and 198.70

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Solution

The fourth proportional to 254.07, 350.81 and 198.70 is: 274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 350.81 = 198.70 : x
  2. Step 2: Convert to fraction form
    254.07/350.81 = 198.70/x
  3. Step 3: Cross multiply
    254.07x = 350.81 × 198.70
  4. Step 4: Simplify right side
    254.07x = 69,707.91
  5. Step 5: Solve for x
    x = 69,707.91/254.07
  6. Step 6: Final answer
    x = 274.36

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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.