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Finding the Fourth Proportional to 301.39, 415.74 and 190.83

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Solution

The fourth proportional to 301.39, 415.74 and 190.83 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.39 : 415.74 = 190.83 : x
  2. Step 2: Convert to fraction form
    301.39/415.74 = 190.83/x
  3. Step 3: Cross multiply
    301.39x = 415.74 × 190.83
  4. Step 4: Simplify right side
    301.39x = 79,335.66
  5. Step 5: Solve for x
    x = 79,335.66/301.39
  6. Step 6: Final answer
    x = 263.23

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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.