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Finding the Fourth Proportional to 290.15, 434.58 and 198.44

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Solution

The fourth proportional to 290.15, 434.58 and 198.44 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.15 : 434.58 = 198.44 : x
  2. Step 2: Convert to fraction form
    290.15/434.58 = 198.44/x
  3. Step 3: Cross multiply
    290.15x = 434.58 × 198.44
  4. Step 4: Simplify right side
    290.15x = 86,238.06
  5. Step 5: Solve for x
    x = 86,238.06/290.15
  6. Step 6: Final answer
    x = 297.22

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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.