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Finding the Fourth Proportional to 298.87, 412.67 and 194.02

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Solution

The fourth proportional to 298.87, 412.67 and 194.02 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.87 : 412.67 = 194.02 : x
  2. Step 2: Convert to fraction form
    298.87/412.67 = 194.02/x
  3. Step 3: Cross multiply
    298.87x = 412.67 × 194.02
  4. Step 4: Simplify right side
    298.87x = 80,066.23
  5. Step 5: Solve for x
    x = 80,066.23/298.87
  6. Step 6: Final answer
    x = 267.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.