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Finding the Fourth Proportional to 254.83, 351.63 and 144.30

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Solution

The fourth proportional to 254.83, 351.63 and 144.30 is: 199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.83 : 351.63 = 144.30 : x
  2. Step 2: Convert to fraction form
    254.83/351.63 = 144.30/x
  3. Step 3: Cross multiply
    254.83x = 351.63 × 144.30
  4. Step 4: Simplify right side
    254.83x = 50,741.53
  5. Step 5: Solve for x
    x = 50,741.53/254.83
  6. Step 6: Final answer
    x = 199.12

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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.