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Finding the Fourth Proportional to 316.30, 436.37 and 198.21

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Solution

The fourth proportional to 316.30, 436.37 and 198.21 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.30 : 436.37 = 198.21 : x
  2. Step 2: Convert to fraction form
    316.30/436.37 = 198.21/x
  3. Step 3: Cross multiply
    316.30x = 436.37 × 198.21
  4. Step 4: Simplify right side
    316.30x = 86,492.90
  5. Step 5: Solve for x
    x = 86,492.90/316.30
  6. Step 6: Final answer
    x = 273.45

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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.