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Finding the Fourth Proportional to 469.31, 704.00 and 161.10

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Solution

The fourth proportional to 469.31, 704.00 and 161.10 is: 241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 704.00 = 161.10 : x
  2. Step 2: Convert to fraction form
    469.31/704.00 = 161.10/x
  3. Step 3: Cross multiply
    469.31x = 704.00 × 161.10
  4. Step 4: Simplify right side
    469.31x = 113,414.80
  5. Step 5: Solve for x
    x = 113,414.80/469.31
  6. Step 6: Final answer
    x = 241.67

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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.