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Finding the Fourth Proportional to 254.80, 382.14 and 208.96

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Solution

The fourth proportional to 254.80, 382.14 and 208.96 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 382.14 = 208.96 : x
  2. Step 2: Convert to fraction form
    254.80/382.14 = 208.96/x
  3. Step 3: Cross multiply
    254.80x = 382.14 × 208.96
  4. Step 4: Simplify right side
    254.80x = 79,851.97
  5. Step 5: Solve for x
    x = 79,851.97/254.80
  6. Step 6: Final answer
    x = 313.39

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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.