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Finding the Fourth Proportional to 301.21, 415.85 and 207.92

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Solution

The fourth proportional to 301.21, 415.85 and 207.92 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.21 : 415.85 = 207.92 : x
  2. Step 2: Convert to fraction form
    301.21/415.85 = 207.92/x
  3. Step 3: Cross multiply
    301.21x = 415.85 × 207.92
  4. Step 4: Simplify right side
    301.21x = 86,463.53
  5. Step 5: Solve for x
    x = 86,463.53/301.21
  6. Step 6: Final answer
    x = 287.05

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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.