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Finding the Fourth Proportional to 205.42, 282.04 and 193.58

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Solution

The fourth proportional to 205.42, 282.04 and 193.58 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 282.04 = 193.58 : x
  2. Step 2: Convert to fraction form
    205.42/282.04 = 193.58/x
  3. Step 3: Cross multiply
    205.42x = 282.04 × 193.58
  4. Step 4: Simplify right side
    205.42x = 54,597.30
  5. Step 5: Solve for x
    x = 54,597.30/205.42
  6. Step 6: Final answer
    x = 265.78

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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.