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Finding the Fourth Proportional to 441.40, 661.92 and 194.50

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Solution

The fourth proportional to 441.40, 661.92 and 194.50 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.40 : 661.92 = 194.50 : x
  2. Step 2: Convert to fraction form
    441.40/661.92 = 194.50/x
  3. Step 3: Cross multiply
    441.40x = 661.92 × 194.50
  4. Step 4: Simplify right side
    441.40x = 128,743.44
  5. Step 5: Solve for x
    x = 128,743.44/441.40
  6. Step 6: Final answer
    x = 291.67

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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.