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Finding the Fourth Proportional to 205.38, 282.78 and 184.77

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Solution

The fourth proportional to 205.38, 282.78 and 184.77 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 282.78 = 184.77 : x
  2. Step 2: Convert to fraction form
    205.38/282.78 = 184.77/x
  3. Step 3: Cross multiply
    205.38x = 282.78 × 184.77
  4. Step 4: Simplify right side
    205.38x = 52,249.26
  5. Step 5: Solve for x
    x = 52,249.26/205.38
  6. Step 6: Final answer
    x = 254.40

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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.