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Finding the Fourth Proportional to 235.12, 352.96 and 139

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Solution

The fourth proportional to 235.12, 352.96 and 139 is: 208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 352.96 = 139 : x
  2. Step 2: Convert to fraction form
    235.12/352.96 = 139/x
  3. Step 3: Cross multiply
    235.12x = 352.96 × 139
  4. Step 4: Simplify right side
    235.12x = 49,061.44
  5. Step 5: Solve for x
    x = 49,061.44/235.12
  6. Step 6: Final answer
    x = 208.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.