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Finding the Fourth Proportional to 254.94, 351.72 and 144.36

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Solution

The fourth proportional to 254.94, 351.72 and 144.36 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 351.72 = 144.36 : x
  2. Step 2: Convert to fraction form
    254.94/351.72 = 144.36/x
  3. Step 3: Cross multiply
    254.94x = 351.72 × 144.36
  4. Step 4: Simplify right side
    254.94x = 50,774.30
  5. Step 5: Solve for x
    x = 50,774.30/254.94
  6. Step 6: Final answer
    x = 199.16

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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.