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Finding the Fourth Proportional to 406.24, 609.33 and 142.67

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Solution

The fourth proportional to 406.24, 609.33 and 142.67 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 609.33 = 142.67 : x
  2. Step 2: Convert to fraction form
    406.24/609.33 = 142.67/x
  3. Step 3: Cross multiply
    406.24x = 609.33 × 142.67
  4. Step 4: Simplify right side
    406.24x = 86,933.11
  5. Step 5: Solve for x
    x = 86,933.11/406.24
  6. Step 6: Final answer
    x = 213.99

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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.