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Finding the Fourth Proportional to 254.69, 351.39 and 144.16

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Solution

The fourth proportional to 254.69, 351.39 and 144.16 is: 198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.69 : 351.39 = 144.16 : x
  2. Step 2: Convert to fraction form
    254.69/351.39 = 144.16/x
  3. Step 3: Cross multiply
    254.69x = 351.39 × 144.16
  4. Step 4: Simplify right side
    254.69x = 50,654.63
  5. Step 5: Solve for x
    x = 50,654.63/254.69
  6. Step 6: Final answer
    x = 198.89

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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.