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Finding the Fourth Proportional to 805.35, 1,208.12 and 228.22

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Solution

The fourth proportional to 805.35, 1,208.12 and 228.22 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.35 : 1,208.12 = 228.22 : x
  2. Step 2: Convert to fraction form
    805.35/1,208.12 = 228.22/x
  3. Step 3: Cross multiply
    805.35x = 1,208.12 × 228.22
  4. Step 4: Simplify right side
    805.35x = 275,717.15
  5. Step 5: Solve for x
    x = 275,717.15/805.35
  6. Step 6: Final answer
    x = 342.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.