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Finding the Fourth Proportional to 290.02, 434.94 and 107.42

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Solution

The fourth proportional to 290.02, 434.94 and 107.42 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.02 : 434.94 = 107.42 : x
  2. Step 2: Convert to fraction form
    290.02/434.94 = 107.42/x
  3. Step 3: Cross multiply
    290.02x = 434.94 × 107.42
  4. Step 4: Simplify right side
    290.02x = 46,721.25
  5. Step 5: Solve for x
    x = 46,721.25/290.02
  6. Step 6: Final answer
    x = 161.10

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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.