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Finding the Fourth Proportional to 193.15, 289.62 and 77.56

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Solution

The fourth proportional to 193.15, 289.62 and 77.56 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.15 : 289.62 = 77.56 : x
  2. Step 2: Convert to fraction form
    193.15/289.62 = 77.56/x
  3. Step 3: Cross multiply
    193.15x = 289.62 × 77.56
  4. Step 4: Simplify right side
    193.15x = 22,462.93
  5. Step 5: Solve for x
    x = 22,462.93/193.15
  6. Step 6: Final answer
    x = 116.30

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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.