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Finding the Fourth Proportional to 208.35, 312.80 and 127.31

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Solution

The fourth proportional to 208.35, 312.80 and 127.31 is: 191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.35 : 312.80 = 127.31 : x
  2. Step 2: Convert to fraction form
    208.35/312.80 = 127.31/x
  3. Step 3: Cross multiply
    208.35x = 312.80 × 127.31
  4. Step 4: Simplify right side
    208.35x = 39,820.37
  5. Step 5: Solve for x
    x = 39,820.37/208.35
  6. Step 6: Final answer
    x = 191.12

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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.