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Finding the Fourth Proportional to 777.32, 1,165.98 and 200.19

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Solution

The fourth proportional to 777.32, 1,165.98 and 200.19 is: 300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.32 : 1,165.98 = 200.19 : x
  2. Step 2: Convert to fraction form
    777.32/1,165.98 = 200.19/x
  3. Step 3: Cross multiply
    777.32x = 1,165.98 × 200.19
  4. Step 4: Simplify right side
    777.32x = 233,417.54
  5. Step 5: Solve for x
    x = 233,417.54/777.32
  6. Step 6: Final answer
    x = 300.29

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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.