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Finding the Fourth Proportional to 306.45, 423.09 and 223.74

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Solution

The fourth proportional to 306.45, 423.09 and 223.74 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 423.09 = 223.74 : x
  2. Step 2: Convert to fraction form
    306.45/423.09 = 223.74/x
  3. Step 3: Cross multiply
    306.45x = 423.09 × 223.74
  4. Step 4: Simplify right side
    306.45x = 94,662.16
  5. Step 5: Solve for x
    x = 94,662.16/306.45
  6. Step 6: Final answer
    x = 308.90

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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.