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Finding the Fourth Proportional to 299.99, 449.71 and 145.82

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Solution

The fourth proportional to 299.99, 449.71 and 145.82 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.99 : 449.71 = 145.82 : x
  2. Step 2: Convert to fraction form
    299.99/449.71 = 145.82/x
  3. Step 3: Cross multiply
    299.99x = 449.71 × 145.82
  4. Step 4: Simplify right side
    299.99x = 65,574.10
  5. Step 5: Solve for x
    x = 65,574.10/299.99
  6. Step 6: Final answer
    x = 218.59

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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.