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Finding the Fourth Proportional to 208.46, 312.74 and 105.74

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Solution

The fourth proportional to 208.46, 312.74 and 105.74 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.46 : 312.74 = 105.74 : x
  2. Step 2: Convert to fraction form
    208.46/312.74 = 105.74/x
  3. Step 3: Cross multiply
    208.46x = 312.74 × 105.74
  4. Step 4: Simplify right side
    208.46x = 33,069.13
  5. Step 5: Solve for x
    x = 33,069.13/208.46
  6. Step 6: Final answer
    x = 158.64

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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.