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Finding the Fourth Proportional to 208.52, 310.33 and 207.88

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Solution

The fourth proportional to 208.52, 310.33 and 207.88 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 310.33 = 207.88 : x
  2. Step 2: Convert to fraction form
    208.52/310.33 = 207.88/x
  3. Step 3: Cross multiply
    208.52x = 310.33 × 207.88
  4. Step 4: Simplify right side
    208.52x = 64,511.40
  5. Step 5: Solve for x
    x = 64,511.40/208.52
  6. Step 6: Final answer
    x = 309.38

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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.