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Finding the Fourth Proportional to 298.65, 412.16 and 198.90

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Solution

The fourth proportional to 298.65, 412.16 and 198.90 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 412.16 = 198.90 : x
  2. Step 2: Convert to fraction form
    298.65/412.16 = 198.90/x
  3. Step 3: Cross multiply
    298.65x = 412.16 × 198.90
  4. Step 4: Simplify right side
    298.65x = 81,977.63
  5. Step 5: Solve for x
    x = 81,977.63/298.65
  6. Step 6: Final answer
    x = 274.49

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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.