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Finding the Fourth Proportional to 205.96, 309.06 and 90.38

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Solution

The fourth proportional to 205.96, 309.06 and 90.38 is: 135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 309.06 = 90.38 : x
  2. Step 2: Convert to fraction form
    205.96/309.06 = 90.38/x
  3. Step 3: Cross multiply
    205.96x = 309.06 × 90.38
  4. Step 4: Simplify right side
    205.96x = 27,932.84
  5. Step 5: Solve for x
    x = 27,932.84/205.96
  6. Step 6: Final answer
    x = 135.62

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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.