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Finding the Fourth Proportional to 290.94, 435.79 and 181.29

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Solution

The fourth proportional to 290.94, 435.79 and 181.29 is: 271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 435.79 = 181.29 : x
  2. Step 2: Convert to fraction form
    290.94/435.79 = 181.29/x
  3. Step 3: Cross multiply
    290.94x = 435.79 × 181.29
  4. Step 4: Simplify right side
    290.94x = 79,004.03
  5. Step 5: Solve for x
    x = 79,004.03/290.94
  6. Step 6: Final answer
    x = 271.55

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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.