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Finding the Fourth Proportional to 205.83, 309.05 and 178.49

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Solution

The fourth proportional to 205.83, 309.05 and 178.49 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 309.05 = 178.49 : x
  2. Step 2: Convert to fraction form
    205.83/309.05 = 178.49/x
  3. Step 3: Cross multiply
    205.83x = 309.05 × 178.49
  4. Step 4: Simplify right side
    205.83x = 55,162.33
  5. Step 5: Solve for x
    x = 55,162.33/205.83
  6. Step 6: Final answer
    x = 268.00

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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.