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Finding the Fourth Proportional to 208.82, 313.24 and 87.24

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Solution

The fourth proportional to 208.82, 313.24 and 87.24 is: 130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 313.24 = 87.24 : x
  2. Step 2: Convert to fraction form
    208.82/313.24 = 87.24/x
  3. Step 3: Cross multiply
    208.82x = 313.24 × 87.24
  4. Step 4: Simplify right side
    208.82x = 27,327.06
  5. Step 5: Solve for x
    x = 27,327.06/208.82
  6. Step 6: Final answer
    x = 130.86

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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.