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Finding the Fourth Proportional to 235.33, 352.91 and 96.47

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Solution

The fourth proportional to 235.33, 352.91 and 96.47 is: 144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.33 : 352.91 = 96.47 : x
  2. Step 2: Convert to fraction form
    235.33/352.91 = 96.47/x
  3. Step 3: Cross multiply
    235.33x = 352.91 × 96.47
  4. Step 4: Simplify right side
    235.33x = 34,045.03
  5. Step 5: Solve for x
    x = 34,045.03/235.33
  6. Step 6: Final answer
    x = 144.67

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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.