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Finding the Fourth Proportional to 316.55, 436.62 and 205.99

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Solution

The fourth proportional to 316.55, 436.62 and 205.99 is: 284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.55 : 436.62 = 205.99 : x
  2. Step 2: Convert to fraction form
    316.55/436.62 = 205.99/x
  3. Step 3: Cross multiply
    316.55x = 436.62 × 205.99
  4. Step 4: Simplify right side
    316.55x = 89,939.03
  5. Step 5: Solve for x
    x = 89,939.03/316.55
  6. Step 6: Final answer
    x = 284.12

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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.