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Finding the Fourth Proportional to 299.15, 448.62 and 116.49

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Solution

The fourth proportional to 299.15, 448.62 and 116.49 is: 174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 448.62 = 116.49 : x
  2. Step 2: Convert to fraction form
    299.15/448.62 = 116.49/x
  3. Step 3: Cross multiply
    299.15x = 448.62 × 116.49
  4. Step 4: Simplify right side
    299.15x = 52,259.74
  5. Step 5: Solve for x
    x = 52,259.74/299.15
  6. Step 6: Final answer
    x = 174.69

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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.