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Finding the Fourth Proportional to 200.23, 299.61 and 122.92

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Solution

The fourth proportional to 200.23, 299.61 and 122.92 is: 183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 299.61 = 122.92 : x
  2. Step 2: Convert to fraction form
    200.23/299.61 = 122.92/x
  3. Step 3: Cross multiply
    200.23x = 299.61 × 122.92
  4. Step 4: Simplify right side
    200.23x = 36,828.06
  5. Step 5: Solve for x
    x = 36,828.06/200.23
  6. Step 6: Final answer
    x = 183.93

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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.