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Finding the Fourth Proportional to 208.65, 312.94 and 105.83

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Solution

The fourth proportional to 208.65, 312.94 and 105.83 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.65 : 312.94 = 105.83 : x
  2. Step 2: Convert to fraction form
    208.65/312.94 = 105.83/x
  3. Step 3: Cross multiply
    208.65x = 312.94 × 105.83
  4. Step 4: Simplify right side
    208.65x = 33,118.18
  5. Step 5: Solve for x
    x = 33,118.18/208.65
  6. Step 6: Final answer
    x = 158.72

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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.