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Finding the Fourth Proportional to 205.70, 285.75 and 203.81

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Solution

The fourth proportional to 205.70, 285.75 and 203.81 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 285.75 = 203.81 : x
  2. Step 2: Convert to fraction form
    205.70/285.75 = 203.81/x
  3. Step 3: Cross multiply
    205.70x = 285.75 × 203.81
  4. Step 4: Simplify right side
    205.70x = 58,237.28
  5. Step 5: Solve for x
    x = 58,237.28/205.70
  6. Step 6: Final answer
    x = 283.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.