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Finding the Fourth Proportional to 199.50, 299.23 and 53.25

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Solution

The fourth proportional to 199.50, 299.23 and 53.25 is: 79.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 299.23 = 53.25 : x
  2. Step 2: Convert to fraction form
    199.50/299.23 = 53.25/x
  3. Step 3: Cross multiply
    199.50x = 299.23 × 53.25
  4. Step 4: Simplify right side
    199.50x = 15,933.04
  5. Step 5: Solve for x
    x = 15,933.04/199.50
  6. Step 6: Final answer
    x = 79.87

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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.