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Finding the Fourth Proportional to 208.94, 313.20 and 100.54

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Solution

The fourth proportional to 208.94, 313.20 and 100.54 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 313.20 = 100.54 : x
  2. Step 2: Convert to fraction form
    208.94/313.20 = 100.54/x
  3. Step 3: Cross multiply
    208.94x = 313.20 × 100.54
  4. Step 4: Simplify right side
    208.94x = 31,489.13
  5. Step 5: Solve for x
    x = 31,489.13/208.94
  6. Step 6: Final answer
    x = 150.71

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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.