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Finding the Fourth Proportional to 290.49, 435.72 and 107.80

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Solution

The fourth proportional to 290.49, 435.72 and 107.80 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.49 : 435.72 = 107.80 : x
  2. Step 2: Convert to fraction form
    290.49/435.72 = 107.80/x
  3. Step 3: Cross multiply
    290.49x = 435.72 × 107.80
  4. Step 4: Simplify right side
    290.49x = 46,970.62
  5. Step 5: Solve for x
    x = 46,970.62/290.49
  6. Step 6: Final answer
    x = 161.69

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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.