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Finding the Fourth Proportional to 340.71, 470.12 and 193.34

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Solution

The fourth proportional to 340.71, 470.12 and 193.34 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 470.12 = 193.34 : x
  2. Step 2: Convert to fraction form
    340.71/470.12 = 193.34/x
  3. Step 3: Cross multiply
    340.71x = 470.12 × 193.34
  4. Step 4: Simplify right side
    340.71x = 90,893.00
  5. Step 5: Solve for x
    x = 90,893.00/340.71
  6. Step 6: Final answer
    x = 266.78

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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.