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Finding the Fourth Proportional to 208.61, 312.80 and 111.16

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Solution

The fourth proportional to 208.61, 312.80 and 111.16 is: 166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 312.80 = 111.16 : x
  2. Step 2: Convert to fraction form
    208.61/312.80 = 111.16/x
  3. Step 3: Cross multiply
    208.61x = 312.80 × 111.16
  4. Step 4: Simplify right side
    208.61x = 34,769.93
  5. Step 5: Solve for x
    x = 34,769.93/208.61
  6. Step 6: Final answer
    x = 166.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.