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Finding the Fourth Proportional to 208.98, 313.67 and 106.34

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Solution

The fourth proportional to 208.98, 313.67 and 106.34 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 313.67 = 106.34 : x
  2. Step 2: Convert to fraction form
    208.98/313.67 = 106.34/x
  3. Step 3: Cross multiply
    208.98x = 313.67 × 106.34
  4. Step 4: Simplify right side
    208.98x = 33,353.57
  5. Step 5: Solve for x
    x = 33,353.57/208.98
  6. Step 6: Final answer
    x = 159.60

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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.