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Finding the Fourth Proportional to 513.69, 770.49 and 148.48

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Solution

The fourth proportional to 513.69, 770.49 and 148.48 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 770.49 = 148.48 : x
  2. Step 2: Convert to fraction form
    513.69/770.49 = 148.48/x
  3. Step 3: Cross multiply
    513.69x = 770.49 × 148.48
  4. Step 4: Simplify right side
    513.69x = 114,399.94
  5. Step 5: Solve for x
    x = 114,399.94/513.69
  6. Step 6: Final answer
    x = 222.70

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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.