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Finding the Fourth Proportional to 200.83, 300.42 and 160.33

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Solution

The fourth proportional to 200.83, 300.42 and 160.33 is: 239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.83 : 300.42 = 160.33 : x
  2. Step 2: Convert to fraction form
    200.83/300.42 = 160.33/x
  3. Step 3: Cross multiply
    200.83x = 300.42 × 160.33
  4. Step 4: Simplify right side
    200.83x = 48,166.34
  5. Step 5: Solve for x
    x = 48,166.34/200.83
  6. Step 6: Final answer
    x = 239.84

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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.