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Finding the Fourth Proportional to 193, 289.54 and 63

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Solution

The fourth proportional to 193, 289.54 and 63 is: 94.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 289.54 = 63 : x
  2. Step 2: Convert to fraction form
    193/289.54 = 63/x
  3. Step 3: Cross multiply
    193x = 289.54 × 63
  4. Step 4: Simplify right side
    193x = 18,241.02
  5. Step 5: Solve for x
    x = 18,241.02/193
  6. Step 6: Final answer
    x = 94.51

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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.