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Finding the Fourth Proportional to 208.88, 285.70 and 205.52

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Solution

The fourth proportional to 208.88, 285.70 and 205.52 is: 281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.88 : 285.70 = 205.52 : x
  2. Step 2: Convert to fraction form
    208.88/285.70 = 205.52/x
  3. Step 3: Cross multiply
    208.88x = 285.70 × 205.52
  4. Step 4: Simplify right side
    208.88x = 58,717.06
  5. Step 5: Solve for x
    x = 58,717.06/208.88
  6. Step 6: Final answer
    x = 281.10

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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.