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Finding the Fourth Proportional to 175.33, 262.94 and 134.67

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Solution

The fourth proportional to 175.33, 262.94 and 134.67 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.33 : 262.94 = 134.67 : x
  2. Step 2: Convert to fraction form
    175.33/262.94 = 134.67/x
  3. Step 3: Cross multiply
    175.33x = 262.94 × 134.67
  4. Step 4: Simplify right side
    175.33x = 35,409.46
  5. Step 5: Solve for x
    x = 35,409.46/175.33
  6. Step 6: Final answer
    x = 201.96

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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.