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Finding the Fourth Proportional to 513.57, 770.22 and 148.40

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Solution

The fourth proportional to 513.57, 770.22 and 148.40 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 770.22 = 148.40 : x
  2. Step 2: Convert to fraction form
    513.57/770.22 = 148.40/x
  3. Step 3: Cross multiply
    513.57x = 770.22 × 148.40
  4. Step 4: Simplify right side
    513.57x = 114,300.65
  5. Step 5: Solve for x
    x = 114,300.65/513.57
  6. Step 6: Final answer
    x = 222.56

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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.