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Finding the Fourth Proportional to 245.21, 367.34 and 142.34

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Solution

The fourth proportional to 245.21, 367.34 and 142.34 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.21 : 367.34 = 142.34 : x
  2. Step 2: Convert to fraction form
    245.21/367.34 = 142.34/x
  3. Step 3: Cross multiply
    245.21x = 367.34 × 142.34
  4. Step 4: Simplify right side
    245.21x = 52,284.63
  5. Step 5: Solve for x
    x = 52,284.63/245.21
  6. Step 6: Final answer
    x = 213.23

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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.