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Finding the Fourth Proportional to 208.88, 287.95 and 143.27

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Solution

The fourth proportional to 208.88, 287.95 and 143.27 is: 197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.88 : 287.95 = 143.27 : x
  2. Step 2: Convert to fraction form
    208.88/287.95 = 143.27/x
  3. Step 3: Cross multiply
    208.88x = 287.95 × 143.27
  4. Step 4: Simplify right side
    208.88x = 41,254.60
  5. Step 5: Solve for x
    x = 41,254.60/208.88
  6. Step 6: Final answer
    x = 197.50

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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.