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Finding the Fourth Proportional to 208.71, 311.55 and 193.68

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Solution

The fourth proportional to 208.71, 311.55 and 193.68 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 311.55 = 193.68 : x
  2. Step 2: Convert to fraction form
    208.71/311.55 = 193.68/x
  3. Step 3: Cross multiply
    208.71x = 311.55 × 193.68
  4. Step 4: Simplify right side
    208.71x = 60,341.00
  5. Step 5: Solve for x
    x = 60,341.00/208.71
  6. Step 6: Final answer
    x = 289.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.