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Finding the Fourth Proportional to 193.12, 289.59 and 111.99

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Solution

The fourth proportional to 193.12, 289.59 and 111.99 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.12 : 289.59 = 111.99 : x
  2. Step 2: Convert to fraction form
    193.12/289.59 = 111.99/x
  3. Step 3: Cross multiply
    193.12x = 289.59 × 111.99
  4. Step 4: Simplify right side
    193.12x = 32,429.74
  5. Step 5: Solve for x
    x = 32,429.74/193.12
  6. Step 6: Final answer
    x = 167.93

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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.