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Finding the Fourth Proportional to 205.59, 283.17 and 177.96

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Solution

The fourth proportional to 205.59, 283.17 and 177.96 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 283.17 = 177.96 : x
  2. Step 2: Convert to fraction form
    205.59/283.17 = 177.96/x
  3. Step 3: Cross multiply
    205.59x = 283.17 × 177.96
  4. Step 4: Simplify right side
    205.59x = 50,392.93
  5. Step 5: Solve for x
    x = 50,392.93/205.59
  6. Step 6: Final answer
    x = 245.11

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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.