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Finding the Fourth Proportional to 205.13, 283.82 and 178.95

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Solution

The fourth proportional to 205.13, 283.82 and 178.95 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 283.82 = 178.95 : x
  2. Step 2: Convert to fraction form
    205.13/283.82 = 178.95/x
  3. Step 3: Cross multiply
    205.13x = 283.82 × 178.95
  4. Step 4: Simplify right side
    205.13x = 50,788.69
  5. Step 5: Solve for x
    x = 50,788.69/205.13
  6. Step 6: Final answer
    x = 247.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.