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Finding the Fourth Proportional to 340.70, 470.02 and 222.80

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Solution

The fourth proportional to 340.70, 470.02 and 222.80 is: 307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 470.02 = 222.80 : x
  2. Step 2: Convert to fraction form
    340.70/470.02 = 222.80/x
  3. Step 3: Cross multiply
    340.70x = 470.02 × 222.80
  4. Step 4: Simplify right side
    340.70x = 104,720.46
  5. Step 5: Solve for x
    x = 104,720.46/340.70
  6. Step 6: Final answer
    x = 307.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.