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Finding the Fourth Proportional to 208.23, 311.94 and 116.65

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Solution

The fourth proportional to 208.23, 311.94 and 116.65 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 311.94 = 116.65 : x
  2. Step 2: Convert to fraction form
    208.23/311.94 = 116.65/x
  3. Step 3: Cross multiply
    208.23x = 311.94 × 116.65
  4. Step 4: Simplify right side
    208.23x = 36,386.49
  5. Step 5: Solve for x
    x = 36,386.49/208.23
  6. Step 6: Final answer
    x = 174.74

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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.