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Finding the Fourth Proportional to 194.40, 289.71 and 188.84

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Solution

The fourth proportional to 194.40, 289.71 and 188.84 is: 281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 289.71 = 188.84 : x
  2. Step 2: Convert to fraction form
    194.40/289.71 = 188.84/x
  3. Step 3: Cross multiply
    194.40x = 289.71 × 188.84
  4. Step 4: Simplify right side
    194.40x = 54,707.39
  5. Step 5: Solve for x
    x = 54,707.39/194.40
  6. Step 6: Final answer
    x = 281.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.