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Finding the Fourth Proportional to 316.19, 436.28 and 199.69

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Solution

The fourth proportional to 316.19, 436.28 and 199.69 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.19 : 436.28 = 199.69 : x
  2. Step 2: Convert to fraction form
    316.19/436.28 = 199.69/x
  3. Step 3: Cross multiply
    316.19x = 436.28 × 199.69
  4. Step 4: Simplify right side
    316.19x = 87,119.16
  5. Step 5: Solve for x
    x = 87,119.16/316.19
  6. Step 6: Final answer
    x = 275.53

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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.