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Finding the Fourth Proportional to 199.99, 299.71 and 180.01

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Solution

The fourth proportional to 199.99, 299.71 and 180.01 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.99 : 299.71 = 180.01 : x
  2. Step 2: Convert to fraction form
    199.99/299.71 = 180.01/x
  3. Step 3: Cross multiply
    199.99x = 299.71 × 180.01
  4. Step 4: Simplify right side
    199.99x = 53,950.80
  5. Step 5: Solve for x
    x = 53,950.80/199.99
  6. Step 6: Final answer
    x = 269.77

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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.