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Finding the Fourth Proportional to 208.56, 287.94 and 157.08

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Solution

The fourth proportional to 208.56, 287.94 and 157.08 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 287.94 = 157.08 : x
  2. Step 2: Convert to fraction form
    208.56/287.94 = 157.08/x
  3. Step 3: Cross multiply
    208.56x = 287.94 × 157.08
  4. Step 4: Simplify right side
    208.56x = 45,229.62
  5. Step 5: Solve for x
    x = 45,229.62/208.56
  6. Step 6: Final answer
    x = 216.87

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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.