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Finding the Fourth Proportional to 208.67, 288.05 and 142.63

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Solution

The fourth proportional to 208.67, 288.05 and 142.63 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.67 : 288.05 = 142.63 : x
  2. Step 2: Convert to fraction form
    208.67/288.05 = 142.63/x
  3. Step 3: Cross multiply
    208.67x = 288.05 × 142.63
  4. Step 4: Simplify right side
    208.67x = 41,083.14
  5. Step 5: Solve for x
    x = 41,083.14/208.67
  6. Step 6: Final answer
    x = 196.89

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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.