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Finding the Fourth Proportional to 299.15, 448.29 and 189.20

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Solution

The fourth proportional to 299.15, 448.29 and 189.20 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 448.29 = 189.20 : x
  2. Step 2: Convert to fraction form
    299.15/448.29 = 189.20/x
  3. Step 3: Cross multiply
    299.15x = 448.29 × 189.20
  4. Step 4: Simplify right side
    299.15x = 84,816.47
  5. Step 5: Solve for x
    x = 84,816.47/299.15
  6. Step 6: Final answer
    x = 283.52

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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.