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Finding the Fourth Proportional to 769.97, 1,154.93 and 222.14

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Solution

The fourth proportional to 769.97, 1,154.93 and 222.14 is: 333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.97 : 1,154.93 = 222.14 : x
  2. Step 2: Convert to fraction form
    769.97/1,154.93 = 222.14/x
  3. Step 3: Cross multiply
    769.97x = 1,154.93 × 222.14
  4. Step 4: Simplify right side
    769.97x = 256,549.26
  5. Step 5: Solve for x
    x = 256,549.26/769.97
  6. Step 6: Final answer
    x = 333.20

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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.