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Finding the Fourth Proportional to 316.32, 436.68 and 213.36

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Solution

The fourth proportional to 316.32, 436.68 and 213.36 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.32 : 436.68 = 213.36 : x
  2. Step 2: Convert to fraction form
    316.32/436.68 = 213.36/x
  3. Step 3: Cross multiply
    316.32x = 436.68 × 213.36
  4. Step 4: Simplify right side
    316.32x = 93,170.04
  5. Step 5: Solve for x
    x = 93,170.04/316.32
  6. Step 6: Final answer
    x = 294.54

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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.