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Finding the Fourth Proportional to 301.71, 415.98 and 208.29

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Solution

The fourth proportional to 301.71, 415.98 and 208.29 is: 287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.71 : 415.98 = 208.29 : x
  2. Step 2: Convert to fraction form
    301.71/415.98 = 208.29/x
  3. Step 3: Cross multiply
    301.71x = 415.98 × 208.29
  4. Step 4: Simplify right side
    301.71x = 86,644.47
  5. Step 5: Solve for x
    x = 86,644.47/301.71
  6. Step 6: Final answer
    x = 287.18

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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.