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Finding the Fourth Proportional to 340.94, 470.33 and 222.87

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Solution

The fourth proportional to 340.94, 470.33 and 222.87 is: 307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.94 : 470.33 = 222.87 : x
  2. Step 2: Convert to fraction form
    340.94/470.33 = 222.87/x
  3. Step 3: Cross multiply
    340.94x = 470.33 × 222.87
  4. Step 4: Simplify right side
    340.94x = 104,822.54
  5. Step 5: Solve for x
    x = 104,822.54/340.94
  6. Step 6: Final answer
    x = 307.45

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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.