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Finding the Fourth Proportional to 208.98, 313.65 and 111.56

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Solution

The fourth proportional to 208.98, 313.65 and 111.56 is: 167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 313.65 = 111.56 : x
  2. Step 2: Convert to fraction form
    208.98/313.65 = 111.56/x
  3. Step 3: Cross multiply
    208.98x = 313.65 × 111.56
  4. Step 4: Simplify right side
    208.98x = 34,990.82
  5. Step 5: Solve for x
    x = 34,990.82/208.98
  6. Step 6: Final answer
    x = 167.44

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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.