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Finding the Fourth Proportional to 205.62, 281.59 and 202.92

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Solution

The fourth proportional to 205.62, 281.59 and 202.92 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.62 : 281.59 = 202.92 : x
  2. Step 2: Convert to fraction form
    205.62/281.59 = 202.92/x
  3. Step 3: Cross multiply
    205.62x = 281.59 × 202.92
  4. Step 4: Simplify right side
    205.62x = 57,140.24
  5. Step 5: Solve for x
    x = 57,140.24/205.62
  6. Step 6: Final answer
    x = 277.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.