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Finding the Fourth Proportional to 470.08, 704.90 and 161.83

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Solution

The fourth proportional to 470.08, 704.90 and 161.83 is: 242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 704.90 = 161.83 : x
  2. Step 2: Convert to fraction form
    470.08/704.90 = 161.83/x
  3. Step 3: Cross multiply
    470.08x = 704.90 × 161.83
  4. Step 4: Simplify right side
    470.08x = 114,072.61
  5. Step 5: Solve for x
    x = 114,072.61/470.08
  6. Step 6: Final answer
    x = 242.67

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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.