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Finding the Fourth Proportional to 776.16, 1,164.23 and 199.04

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Solution

The fourth proportional to 776.16, 1,164.23 and 199.04 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,164.23 = 199.04 : x
  2. Step 2: Convert to fraction form
    776.16/1,164.23 = 199.04/x
  3. Step 3: Cross multiply
    776.16x = 1,164.23 × 199.04
  4. Step 4: Simplify right side
    776.16x = 231,723.02
  5. Step 5: Solve for x
    x = 231,723.02/776.16
  6. Step 6: Final answer
    x = 298.55

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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.