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Finding the Fourth Proportional to 208.58, 312.96 and 105.86

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Solution

The fourth proportional to 208.58, 312.96 and 105.86 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.58 : 312.96 = 105.86 : x
  2. Step 2: Convert to fraction form
    208.58/312.96 = 105.86/x
  3. Step 3: Cross multiply
    208.58x = 312.96 × 105.86
  4. Step 4: Simplify right side
    208.58x = 33,129.36
  5. Step 5: Solve for x
    x = 33,129.36/208.58
  6. Step 6: Final answer
    x = 158.84

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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.