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Finding the Fourth Proportional to 316.81, 436.74 and 206.26

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Solution

The fourth proportional to 316.81, 436.74 and 206.26 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.81 : 436.74 = 206.26 : x
  2. Step 2: Convert to fraction form
    316.81/436.74 = 206.26/x
  3. Step 3: Cross multiply
    316.81x = 436.74 × 206.26
  4. Step 4: Simplify right side
    316.81x = 90,081.99
  5. Step 5: Solve for x
    x = 90,081.99/316.81
  6. Step 6: Final answer
    x = 284.34

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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.