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Finding the Fourth Proportional to 193.68, 289.92 and 189.02

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Solution

The fourth proportional to 193.68, 289.92 and 189.02 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 289.92 = 189.02 : x
  2. Step 2: Convert to fraction form
    193.68/289.92 = 189.02/x
  3. Step 3: Cross multiply
    193.68x = 289.92 × 189.02
  4. Step 4: Simplify right side
    193.68x = 54,800.68
  5. Step 5: Solve for x
    x = 54,800.68/193.68
  6. Step 6: Final answer
    x = 282.94

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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.