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Finding the Fourth Proportional to 254.74, 381.69 and 203.11

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Solution

The fourth proportional to 254.74, 381.69 and 203.11 is: 304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.74 : 381.69 = 203.11 : x
  2. Step 2: Convert to fraction form
    254.74/381.69 = 203.11/x
  3. Step 3: Cross multiply
    254.74x = 381.69 × 203.11
  4. Step 4: Simplify right side
    254.74x = 77,525.06
  5. Step 5: Solve for x
    x = 77,525.06/254.74
  6. Step 6: Final answer
    x = 304.33

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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.