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Finding the Fourth Proportional to 299.59, 449.15 and 116.93

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Solution

The fourth proportional to 299.59, 449.15 and 116.93 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 449.15 = 116.93 : x
  2. Step 2: Convert to fraction form
    299.59/449.15 = 116.93/x
  3. Step 3: Cross multiply
    299.59x = 449.15 × 116.93
  4. Step 4: Simplify right side
    299.59x = 52,519.65
  5. Step 5: Solve for x
    x = 52,519.65/299.59
  6. Step 6: Final answer
    x = 175.31

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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.