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Finding the Fourth Proportional to 513.59, 770.46 and 166.82

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Solution

The fourth proportional to 513.59, 770.46 and 166.82 is: 250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 770.46 = 166.82 : x
  2. Step 2: Convert to fraction form
    513.59/770.46 = 166.82/x
  3. Step 3: Cross multiply
    513.59x = 770.46 × 166.82
  4. Step 4: Simplify right side
    513.59x = 128,527.23
  5. Step 5: Solve for x
    x = 128,527.23/513.59
  6. Step 6: Final answer
    x = 250.25

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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.