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Finding the Fourth Proportional to 302.89, 418.35 and 219.86

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Solution

The fourth proportional to 302.89, 418.35 and 219.86 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.89 : 418.35 = 219.86 : x
  2. Step 2: Convert to fraction form
    302.89/418.35 = 219.86/x
  3. Step 3: Cross multiply
    302.89x = 418.35 × 219.86
  4. Step 4: Simplify right side
    302.89x = 91,978.43
  5. Step 5: Solve for x
    x = 91,978.43/302.89
  6. Step 6: Final answer
    x = 303.67

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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.