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Finding the Fourth Proportional to 290.09, 434.75 and 135.99

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Solution

The fourth proportional to 290.09, 434.75 and 135.99 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.09 : 434.75 = 135.99 : x
  2. Step 2: Convert to fraction form
    290.09/434.75 = 135.99/x
  3. Step 3: Cross multiply
    290.09x = 434.75 × 135.99
  4. Step 4: Simplify right side
    290.09x = 59,120.97
  5. Step 5: Solve for x
    x = 59,120.97/290.09
  6. Step 6: Final answer
    x = 203.81

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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.