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Finding the Fourth Proportional to 205.34, 283.44 and 184.58

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Solution

The fourth proportional to 205.34, 283.44 and 184.58 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 283.44 = 184.58 : x
  2. Step 2: Convert to fraction form
    205.34/283.44 = 184.58/x
  3. Step 3: Cross multiply
    205.34x = 283.44 × 184.58
  4. Step 4: Simplify right side
    205.34x = 52,317.36
  5. Step 5: Solve for x
    x = 52,317.36/205.34
  6. Step 6: Final answer
    x = 254.78

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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.