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Finding the Fourth Proportional to 777.20, 1,165.76 and 200.08

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Solution

The fourth proportional to 777.20, 1,165.76 and 200.08 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.20 : 1,165.76 = 200.08 : x
  2. Step 2: Convert to fraction form
    777.20/1,165.76 = 200.08/x
  3. Step 3: Cross multiply
    777.20x = 1,165.76 × 200.08
  4. Step 4: Simplify right side
    777.20x = 233,245.26
  5. Step 5: Solve for x
    x = 233,245.26/777.20
  6. Step 6: Final answer
    x = 300.11

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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.