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Finding the Fourth Proportional to 200.22, 299.98 and 123.07

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Solution

The fourth proportional to 200.22, 299.98 and 123.07 is: 184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 299.98 = 123.07 : x
  2. Step 2: Convert to fraction form
    200.22/299.98 = 123.07/x
  3. Step 3: Cross multiply
    200.22x = 299.98 × 123.07
  4. Step 4: Simplify right side
    200.22x = 36,918.54
  5. Step 5: Solve for x
    x = 36,918.54/200.22
  6. Step 6: Final answer
    x = 184.39

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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.