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Finding the Fourth Proportional to 777.27, 1,165.90 and 200.15

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Solution

The fourth proportional to 777.27, 1,165.90 and 200.15 is: 300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.27 : 1,165.90 = 200.15 : x
  2. Step 2: Convert to fraction form
    777.27/1,165.90 = 200.15/x
  3. Step 3: Cross multiply
    777.27x = 1,165.90 × 200.15
  4. Step 4: Simplify right side
    777.27x = 233,354.89
  5. Step 5: Solve for x
    x = 233,354.89/777.27
  6. Step 6: Final answer
    x = 300.22

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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.