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Finding the Fourth Proportional to 513.29, 769.94 and 148.11

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Solution

The fourth proportional to 513.29, 769.94 and 148.11 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.29 : 769.94 = 148.11 : x
  2. Step 2: Convert to fraction form
    513.29/769.94 = 148.11/x
  3. Step 3: Cross multiply
    513.29x = 769.94 × 148.11
  4. Step 4: Simplify right side
    513.29x = 114,035.07
  5. Step 5: Solve for x
    x = 114,035.07/513.29
  6. Step 6: Final answer
    x = 222.17

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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.