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Finding the Fourth Proportional to 290.60, 435.97 and 107.99

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Solution

The fourth proportional to 290.60, 435.97 and 107.99 is: 162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 435.97 = 107.99 : x
  2. Step 2: Convert to fraction form
    290.60/435.97 = 107.99/x
  3. Step 3: Cross multiply
    290.60x = 435.97 × 107.99
  4. Step 4: Simplify right side
    290.60x = 47,080.40
  5. Step 5: Solve for x
    x = 47,080.40/290.60
  6. Step 6: Final answer
    x = 162.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.