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Finding the Fourth Proportional to 316.12, 436.32 and 198.16

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Solution

The fourth proportional to 316.12, 436.32 and 198.16 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 436.32 = 198.16 : x
  2. Step 2: Convert to fraction form
    316.12/436.32 = 198.16/x
  3. Step 3: Cross multiply
    316.12x = 436.32 × 198.16
  4. Step 4: Simplify right side
    316.12x = 86,461.17
  5. Step 5: Solve for x
    x = 86,461.17/316.12
  6. Step 6: Final answer
    x = 273.51

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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.