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Finding the Fourth Proportional to 316.62, 436.82 and 192.19

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Solution

The fourth proportional to 316.62, 436.82 and 192.19 is: 265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 436.82 = 192.19 : x
  2. Step 2: Convert to fraction form
    316.62/436.82 = 192.19/x
  3. Step 3: Cross multiply
    316.62x = 436.82 × 192.19
  4. Step 4: Simplify right side
    316.62x = 83,952.44
  5. Step 5: Solve for x
    x = 83,952.44/316.62
  6. Step 6: Final answer
    x = 265.15

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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.