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Finding the Fourth Proportional to 513.23, 769.75 and 147.93

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Solution

The fourth proportional to 513.23, 769.75 and 147.93 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.23 : 769.75 = 147.93 : x
  2. Step 2: Convert to fraction form
    513.23/769.75 = 147.93/x
  3. Step 3: Cross multiply
    513.23x = 769.75 × 147.93
  4. Step 4: Simplify right side
    513.23x = 113,868.75
  5. Step 5: Solve for x
    x = 113,868.75/513.23
  6. Step 6: Final answer
    x = 221.87

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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.