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Finding the Fourth Proportional to 208.56, 288.05 and 142.95

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Solution

The fourth proportional to 208.56, 288.05 and 142.95 is: 197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 288.05 = 142.95 : x
  2. Step 2: Convert to fraction form
    208.56/288.05 = 142.95/x
  3. Step 3: Cross multiply
    208.56x = 288.05 × 142.95
  4. Step 4: Simplify right side
    208.56x = 41,176.75
  5. Step 5: Solve for x
    x = 41,176.75/208.56
  6. Step 6: Final answer
    x = 197.43

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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.