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Finding the Fourth Proportional to 208.08, 313.36 and 181.36

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Solution

The fourth proportional to 208.08, 313.36 and 181.36 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 313.36 = 181.36 : x
  2. Step 2: Convert to fraction form
    208.08/313.36 = 181.36/x
  3. Step 3: Cross multiply
    208.08x = 313.36 × 181.36
  4. Step 4: Simplify right side
    208.08x = 56,830.97
  5. Step 5: Solve for x
    x = 56,830.97/208.08
  6. Step 6: Final answer
    x = 273.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.