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Finding the Fourth Proportional to 412.69, 619.03 and 165.78

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Solution

The fourth proportional to 412.69, 619.03 and 165.78 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 619.03 = 165.78 : x
  2. Step 2: Convert to fraction form
    412.69/619.03 = 165.78/x
  3. Step 3: Cross multiply
    412.69x = 619.03 × 165.78
  4. Step 4: Simplify right side
    412.69x = 102,622.79
  5. Step 5: Solve for x
    x = 102,622.79/412.69
  6. Step 6: Final answer
    x = 248.67

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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.