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Finding the Fourth Proportional to 513.57, 770.28 and 166.86

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Solution

The fourth proportional to 513.57, 770.28 and 166.86 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 770.28 = 166.86 : x
  2. Step 2: Convert to fraction form
    513.57/770.28 = 166.86/x
  3. Step 3: Cross multiply
    513.57x = 770.28 × 166.86
  4. Step 4: Simplify right side
    513.57x = 128,528.30
  5. Step 5: Solve for x
    x = 128,528.30/513.57
  6. Step 6: Final answer
    x = 250.26

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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.