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Finding the Fourth Proportional to 208.98, 312.95 and 106.31

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Solution

The fourth proportional to 208.98, 312.95 and 106.31 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 312.95 = 106.31 : x
  2. Step 2: Convert to fraction form
    208.98/312.95 = 106.31/x
  3. Step 3: Cross multiply
    208.98x = 312.95 × 106.31
  4. Step 4: Simplify right side
    208.98x = 33,267.62
  5. Step 5: Solve for x
    x = 33,267.62/208.98
  6. Step 6: Final answer
    x = 159.19

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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.