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Finding the Fourth Proportional to 235.36, 352.97 and 73.06

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Solution

The fourth proportional to 235.36, 352.97 and 73.06 is: 109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.36 : 352.97 = 73.06 : x
  2. Step 2: Convert to fraction form
    235.36/352.97 = 73.06/x
  3. Step 3: Cross multiply
    235.36x = 352.97 × 73.06
  4. Step 4: Simplify right side
    235.36x = 25,787.99
  5. Step 5: Solve for x
    x = 25,787.99/235.36
  6. Step 6: Final answer
    x = 109.57

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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.