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Finding the Fourth Proportional to 290.72, 435.74 and 107.99

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Solution

The fourth proportional to 290.72, 435.74 and 107.99 is: 161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.72 : 435.74 = 107.99 : x
  2. Step 2: Convert to fraction form
    290.72/435.74 = 107.99/x
  3. Step 3: Cross multiply
    290.72x = 435.74 × 107.99
  4. Step 4: Simplify right side
    290.72x = 47,056.11
  5. Step 5: Solve for x
    x = 47,056.11/290.72
  6. Step 6: Final answer
    x = 161.86

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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.