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Finding the Fourth Proportional to 208.26, 310.19 and 207.23

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Solution

The fourth proportional to 208.26, 310.19 and 207.23 is: 308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 310.19 = 207.23 : x
  2. Step 2: Convert to fraction form
    208.26/310.19 = 207.23/x
  3. Step 3: Cross multiply
    208.26x = 310.19 × 207.23
  4. Step 4: Simplify right side
    208.26x = 64,278.09
  5. Step 5: Solve for x
    x = 64,278.09/208.26
  6. Step 6: Final answer
    x = 308.64

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Why These Related Problems?

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