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Finding the Fourth Proportional to 208.81, 287.45 and 181.07

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Solution

The fourth proportional to 208.81, 287.45 and 181.07 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.81 : 287.45 = 181.07 : x
  2. Step 2: Convert to fraction form
    208.81/287.45 = 181.07/x
  3. Step 3: Cross multiply
    208.81x = 287.45 × 181.07
  4. Step 4: Simplify right side
    208.81x = 52,047.99
  5. Step 5: Solve for x
    x = 52,047.99/208.81
  6. Step 6: Final answer
    x = 249.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.