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Finding the Fourth Proportional to 208.78, 313.30 and 173.14

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Solution

The fourth proportional to 208.78, 313.30 and 173.14 is: 259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 313.30 = 173.14 : x
  2. Step 2: Convert to fraction form
    208.78/313.30 = 173.14/x
  3. Step 3: Cross multiply
    208.78x = 313.30 × 173.14
  4. Step 4: Simplify right side
    208.78x = 54,244.76
  5. Step 5: Solve for x
    x = 54,244.76/208.78
  6. Step 6: Final answer
    x = 259.82

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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.