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Finding the Fourth Proportional to 208.13, 312.26 and 105.47

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Solution

The fourth proportional to 208.13, 312.26 and 105.47 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 312.26 = 105.47 : x
  2. Step 2: Convert to fraction form
    208.13/312.26 = 105.47/x
  3. Step 3: Cross multiply
    208.13x = 312.26 × 105.47
  4. Step 4: Simplify right side
    208.13x = 32,931.97
  5. Step 5: Solve for x
    x = 32,931.97/208.13
  6. Step 6: Final answer
    x = 158.23

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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.