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Finding the Fourth Proportional to 316.62, 436.73 and 211.68

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Solution

The fourth proportional to 316.62, 436.73 and 211.68 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 436.73 = 211.68 : x
  2. Step 2: Convert to fraction form
    316.62/436.73 = 211.68/x
  3. Step 3: Cross multiply
    316.62x = 436.73 × 211.68
  4. Step 4: Simplify right side
    316.62x = 92,445.95
  5. Step 5: Solve for x
    x = 92,445.95/316.62
  6. Step 6: Final answer
    x = 291.98

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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.