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Finding the Fourth Proportional to 299.16, 449.00 and 125.95

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Solution

The fourth proportional to 299.16, 449.00 and 125.95 is: 189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 449.00 = 125.95 : x
  2. Step 2: Convert to fraction form
    299.16/449.00 = 125.95/x
  3. Step 3: Cross multiply
    299.16x = 449.00 × 125.95
  4. Step 4: Simplify right side
    299.16x = 56,550.74
  5. Step 5: Solve for x
    x = 56,550.74/299.16
  6. Step 6: Final answer
    x = 189.03

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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.