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Finding the Fourth Proportional to 205.24, 309.57 and 184.12

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Solution

The fourth proportional to 205.24, 309.57 and 184.12 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 309.57 = 184.12 : x
  2. Step 2: Convert to fraction form
    205.24/309.57 = 184.12/x
  3. Step 3: Cross multiply
    205.24x = 309.57 × 184.12
  4. Step 4: Simplify right side
    205.24x = 56,998.03
  5. Step 5: Solve for x
    x = 56,998.03/205.24
  6. Step 6: Final answer
    x = 277.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.