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Finding the Fourth Proportional to 341.26, 470.98 and 208.56

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Solution

The fourth proportional to 341.26, 470.98 and 208.56 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.26 : 470.98 = 208.56 : x
  2. Step 2: Convert to fraction form
    341.26/470.98 = 208.56/x
  3. Step 3: Cross multiply
    341.26x = 470.98 × 208.56
  4. Step 4: Simplify right side
    341.26x = 98,226.97
  5. Step 5: Solve for x
    x = 98,226.97/341.26
  6. Step 6: Final answer
    x = 287.83

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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.