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Finding the Fourth Proportional to 340.89, 470.39 and 193.47

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Solution

The fourth proportional to 340.89, 470.39 and 193.47 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.89 : 470.39 = 193.47 : x
  2. Step 2: Convert to fraction form
    340.89/470.39 = 193.47/x
  3. Step 3: Cross multiply
    340.89x = 470.39 × 193.47
  4. Step 4: Simplify right side
    340.89x = 91,005.39
  5. Step 5: Solve for x
    x = 91,005.39/340.89
  6. Step 6: Final answer
    x = 266.96

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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.