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Finding the Fourth Proportional to 299.98, 449.70 and 104.84

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Solution

The fourth proportional to 299.98, 449.70 and 104.84 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 449.70 = 104.84 : x
  2. Step 2: Convert to fraction form
    299.98/449.70 = 104.84/x
  3. Step 3: Cross multiply
    299.98x = 449.70 × 104.84
  4. Step 4: Simplify right side
    299.98x = 47,146.55
  5. Step 5: Solve for x
    x = 47,146.55/299.98
  6. Step 6: Final answer
    x = 157.17

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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.