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Finding the Fourth Proportional to 513.17, 769.84 and 148.07

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Solution

The fourth proportional to 513.17, 769.84 and 148.07 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.17 : 769.84 = 148.07 : x
  2. Step 2: Convert to fraction form
    513.17/769.84 = 148.07/x
  3. Step 3: Cross multiply
    513.17x = 769.84 × 148.07
  4. Step 4: Simplify right side
    513.17x = 113,990.21
  5. Step 5: Solve for x
    x = 113,990.21/513.17
  6. Step 6: Final answer
    x = 222.13

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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.