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Finding the Fourth Proportional to 301.18, 415.34 and 207.94

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Solution

The fourth proportional to 301.18, 415.34 and 207.94 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.18 : 415.34 = 207.94 : x
  2. Step 2: Convert to fraction form
    301.18/415.34 = 207.94/x
  3. Step 3: Cross multiply
    301.18x = 415.34 × 207.94
  4. Step 4: Simplify right side
    301.18x = 86,365.80
  5. Step 5: Solve for x
    x = 86,365.80/301.18
  6. Step 6: Final answer
    x = 286.76

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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.