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Finding the Fourth Proportional to 208.26, 312.40 and 110.72

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Solution

The fourth proportional to 208.26, 312.40 and 110.72 is: 166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 312.40 = 110.72 : x
  2. Step 2: Convert to fraction form
    208.26/312.40 = 110.72/x
  3. Step 3: Cross multiply
    208.26x = 312.40 × 110.72
  4. Step 4: Simplify right side
    208.26x = 34,588.93
  5. Step 5: Solve for x
    x = 34,588.93/208.26
  6. Step 6: Final answer
    x = 166.09

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Why These Related Problems?

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