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Finding the Fourth Proportional to 777.96, 1,166.90 and 200.84

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Solution

The fourth proportional to 777.96, 1,166.90 and 200.84 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.96 : 1,166.90 = 200.84 : x
  2. Step 2: Convert to fraction form
    777.96/1,166.90 = 200.84/x
  3. Step 3: Cross multiply
    777.96x = 1,166.90 × 200.84
  4. Step 4: Simplify right side
    777.96x = 234,353.36
  5. Step 5: Solve for x
    x = 234,353.36/777.96
  6. Step 6: Final answer
    x = 301.24

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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.