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Finding the Fourth Proportional to 302.96, 418.27 and 209.67

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Solution

The fourth proportional to 302.96, 418.27 and 209.67 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 418.27 = 209.67 : x
  2. Step 2: Convert to fraction form
    302.96/418.27 = 209.67/x
  3. Step 3: Cross multiply
    302.96x = 418.27 × 209.67
  4. Step 4: Simplify right side
    302.96x = 87,698.67
  5. Step 5: Solve for x
    x = 87,698.67/302.96
  6. Step 6: Final answer
    x = 289.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.