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Finding the Fourth Proportional to 200.82, 300.96 and 184.08

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Solution

The fourth proportional to 200.82, 300.96 and 184.08 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 300.96 = 184.08 : x
  2. Step 2: Convert to fraction form
    200.82/300.96 = 184.08/x
  3. Step 3: Cross multiply
    200.82x = 300.96 × 184.08
  4. Step 4: Simplify right side
    200.82x = 55,400.72
  5. Step 5: Solve for x
    x = 55,400.72/200.82
  6. Step 6: Final answer
    x = 275.87

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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.