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Finding the Fourth Proportional to 254.70, 382.14 and 193.80

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Solution

The fourth proportional to 254.70, 382.14 and 193.80 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.70 : 382.14 = 193.80 : x
  2. Step 2: Convert to fraction form
    254.70/382.14 = 193.80/x
  3. Step 3: Cross multiply
    254.70x = 382.14 × 193.80
  4. Step 4: Simplify right side
    254.70x = 74,058.73
  5. Step 5: Solve for x
    x = 74,058.73/254.70
  6. Step 6: Final answer
    x = 290.77

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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.