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Finding the Fourth Proportional to 299.29, 449.07 and 126.00

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Solution

The fourth proportional to 299.29, 449.07 and 126.00 is: 189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.29 : 449.07 = 126.00 : x
  2. Step 2: Convert to fraction form
    299.29/449.07 = 126.00/x
  3. Step 3: Cross multiply
    299.29x = 449.07 × 126.00
  4. Step 4: Simplify right side
    299.29x = 56,581.89
  5. Step 5: Solve for x
    x = 56,581.89/299.29
  6. Step 6: Final answer
    x = 189.05

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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.