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Finding the Fourth Proportional to 208.77, 313.23 and 106.08

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Solution

The fourth proportional to 208.77, 313.23 and 106.08 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.77 : 313.23 = 106.08 : x
  2. Step 2: Convert to fraction form
    208.77/313.23 = 106.08/x
  3. Step 3: Cross multiply
    208.77x = 313.23 × 106.08
  4. Step 4: Simplify right side
    208.77x = 33,227.44
  5. Step 5: Solve for x
    x = 33,227.44/208.77
  6. Step 6: Final answer
    x = 159.16

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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.