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Finding the Fourth Proportional to 208.37, 286.74 and 176.99

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Solution

The fourth proportional to 208.37, 286.74 and 176.99 is: 243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.37 : 286.74 = 176.99 : x
  2. Step 2: Convert to fraction form
    208.37/286.74 = 176.99/x
  3. Step 3: Cross multiply
    208.37x = 286.74 × 176.99
  4. Step 4: Simplify right side
    208.37x = 50,748.68
  5. Step 5: Solve for x
    x = 50,748.68/208.37
  6. Step 6: Final answer
    x = 243.55

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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.