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Finding the Fourth Proportional to 208.66, 287.40 and 187.88

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Solution

The fourth proportional to 208.66, 287.40 and 187.88 is: 258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 287.40 = 187.88 : x
  2. Step 2: Convert to fraction form
    208.66/287.40 = 187.88/x
  3. Step 3: Cross multiply
    208.66x = 287.40 × 187.88
  4. Step 4: Simplify right side
    208.66x = 53,996.71
  5. Step 5: Solve for x
    x = 53,996.71/208.66
  6. Step 6: Final answer
    x = 258.78

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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.