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Finding the Fourth Proportional to 254.84, 351.85 and 208.33

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Solution

The fourth proportional to 254.84, 351.85 and 208.33 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.84 : 351.85 = 208.33 : x
  2. Step 2: Convert to fraction form
    254.84/351.85 = 208.33/x
  3. Step 3: Cross multiply
    254.84x = 351.85 × 208.33
  4. Step 4: Simplify right side
    254.84x = 73,300.91
  5. Step 5: Solve for x
    x = 73,300.91/254.84
  6. Step 6: Final answer
    x = 287.64

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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.