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Finding the Fourth Proportional to 290.08, 434.96 and 198.88

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Solution

The fourth proportional to 290.08, 434.96 and 198.88 is: 298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.08 : 434.96 = 198.88 : x
  2. Step 2: Convert to fraction form
    290.08/434.96 = 198.88/x
  3. Step 3: Cross multiply
    290.08x = 434.96 × 198.88
  4. Step 4: Simplify right side
    290.08x = 86,501.68
  5. Step 5: Solve for x
    x = 86,501.68/290.08
  6. Step 6: Final answer
    x = 298.20

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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.