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Finding the Fourth Proportional to 816.86, 1,225.25 and 200.57

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Solution

The fourth proportional to 816.86, 1,225.25 and 200.57 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.86 : 1,225.25 = 200.57 : x
  2. Step 2: Convert to fraction form
    816.86/1,225.25 = 200.57/x
  3. Step 3: Cross multiply
    816.86x = 1,225.25 × 200.57
  4. Step 4: Simplify right side
    816.86x = 245,741.26
  5. Step 5: Solve for x
    x = 245,741.26/816.86
  6. Step 6: Final answer
    x = 300.84

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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.