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Finding the Fourth Proportional to 208.56, 287.18 and 180.94

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Solution

The fourth proportional to 208.56, 287.18 and 180.94 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 287.18 = 180.94 : x
  2. Step 2: Convert to fraction form
    208.56/287.18 = 180.94/x
  3. Step 3: Cross multiply
    208.56x = 287.18 × 180.94
  4. Step 4: Simplify right side
    208.56x = 51,962.35
  5. Step 5: Solve for x
    x = 51,962.35/208.56
  6. Step 6: Final answer
    x = 249.15

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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.