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Finding the Fourth Proportional to 306.63, 423.14 and 168.63

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Solution

The fourth proportional to 306.63, 423.14 and 168.63 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 423.14 = 168.63 : x
  2. Step 2: Convert to fraction form
    306.63/423.14 = 168.63/x
  3. Step 3: Cross multiply
    306.63x = 423.14 × 168.63
  4. Step 4: Simplify right side
    306.63x = 71,352.40
  5. Step 5: Solve for x
    x = 71,352.40/306.63
  6. Step 6: Final answer
    x = 232.70

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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.