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Finding the Fourth Proportional to 254.00, 380.94 and 145.73

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Solution

The fourth proportional to 254.00, 380.94 and 145.73 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.00 : 380.94 = 145.73 : x
  2. Step 2: Convert to fraction form
    254.00/380.94 = 145.73/x
  3. Step 3: Cross multiply
    254.00x = 380.94 × 145.73
  4. Step 4: Simplify right side
    254.00x = 55,514.79
  5. Step 5: Solve for x
    x = 55,514.79/254.00
  6. Step 6: Final answer
    x = 218.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.