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Finding the Fourth Proportional to 254.99, 351.89 and 144.45

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Solution

The fourth proportional to 254.99, 351.89 and 144.45 is: 199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.99 : 351.89 = 144.45 : x
  2. Step 2: Convert to fraction form
    254.99/351.89 = 144.45/x
  3. Step 3: Cross multiply
    254.99x = 351.89 × 144.45
  4. Step 4: Simplify right side
    254.99x = 50,829.79
  5. Step 5: Solve for x
    x = 50,829.79/254.99
  6. Step 6: Final answer
    x = 199.34

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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.