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Finding the Fourth Proportional to 299.90, 449.71 and 145.80

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Solution

The fourth proportional to 299.90, 449.71 and 145.80 is: 218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 449.71 = 145.80 : x
  2. Step 2: Convert to fraction form
    299.90/449.71 = 145.80/x
  3. Step 3: Cross multiply
    299.90x = 449.71 × 145.80
  4. Step 4: Simplify right side
    299.90x = 65,567.72
  5. Step 5: Solve for x
    x = 65,567.72/299.90
  6. Step 6: Final answer
    x = 218.63

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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.