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Finding the Fourth Proportional to 295.82, 443.46 and 141.67

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Solution

The fourth proportional to 295.82, 443.46 and 141.67 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 443.46 = 141.67 : x
  2. Step 2: Convert to fraction form
    295.82/443.46 = 141.67/x
  3. Step 3: Cross multiply
    295.82x = 443.46 × 141.67
  4. Step 4: Simplify right side
    295.82x = 62,824.27
  5. Step 5: Solve for x
    x = 62,824.27/295.82
  6. Step 6: Final answer
    x = 212.37

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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.