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Finding the Fourth Proportional to 208.22, 287.48 and 201.86

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Solution

The fourth proportional to 208.22, 287.48 and 201.86 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 287.48 = 201.86 : x
  2. Step 2: Convert to fraction form
    208.22/287.48 = 201.86/x
  3. Step 3: Cross multiply
    208.22x = 287.48 × 201.86
  4. Step 4: Simplify right side
    208.22x = 58,030.71
  5. Step 5: Solve for x
    x = 58,030.71/208.22
  6. Step 6: Final answer
    x = 278.70

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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.