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Finding the Fourth Proportional to 208.53, 313.14 and 186.60

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Solution

The fourth proportional to 208.53, 313.14 and 186.60 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 313.14 = 186.60 : x
  2. Step 2: Convert to fraction form
    208.53/313.14 = 186.60/x
  3. Step 3: Cross multiply
    208.53x = 313.14 × 186.60
  4. Step 4: Simplify right side
    208.53x = 58,431.92
  5. Step 5: Solve for x
    x = 58,431.92/208.53
  6. Step 6: Final answer
    x = 280.21

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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.