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Finding the Fourth Proportional to 200.85, 301.77 and 192.75

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Solution

The fourth proportional to 200.85, 301.77 and 192.75 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 301.77 = 192.75 : x
  2. Step 2: Convert to fraction form
    200.85/301.77 = 192.75/x
  3. Step 3: Cross multiply
    200.85x = 301.77 × 192.75
  4. Step 4: Simplify right side
    200.85x = 58,166.17
  5. Step 5: Solve for x
    x = 58,166.17/200.85
  6. Step 6: Final answer
    x = 289.60

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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.