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Finding the Fourth Proportional to 316.91, 436.69 and 223.76

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Solution

The fourth proportional to 316.91, 436.69 and 223.76 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.91 : 436.69 = 223.76 : x
  2. Step 2: Convert to fraction form
    316.91/436.69 = 223.76/x
  3. Step 3: Cross multiply
    316.91x = 436.69 × 223.76
  4. Step 4: Simplify right side
    316.91x = 97,715.13
  5. Step 5: Solve for x
    x = 97,715.13/316.91
  6. Step 6: Final answer
    x = 308.33

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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.