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Finding the Fourth Proportional to 189.95, 262.85 and 173.54

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Solution

The fourth proportional to 189.95, 262.85 and 173.54 is: 240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 262.85 = 173.54 : x
  2. Step 2: Convert to fraction form
    189.95/262.85 = 173.54/x
  3. Step 3: Cross multiply
    189.95x = 262.85 × 173.54
  4. Step 4: Simplify right side
    189.95x = 45,614.78
  5. Step 5: Solve for x
    x = 45,614.78/189.95
  6. Step 6: Final answer
    x = 240.15

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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.