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Finding the Fourth Proportional to 316.58, 436.76 and 200.22

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Solution

The fourth proportional to 316.58, 436.76 and 200.22 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.58 : 436.76 = 200.22 : x
  2. Step 2: Convert to fraction form
    316.58/436.76 = 200.22/x
  3. Step 3: Cross multiply
    316.58x = 436.76 × 200.22
  4. Step 4: Simplify right side
    316.58x = 87,448.09
  5. Step 5: Solve for x
    x = 87,448.09/316.58
  6. Step 6: Final answer
    x = 276.23

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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.