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Finding the Fourth Proportional to 316.53, 436.68 and 206.19

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Solution

The fourth proportional to 316.53, 436.68 and 206.19 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.53 : 436.68 = 206.19 : x
  2. Step 2: Convert to fraction form
    316.53/436.68 = 206.19/x
  3. Step 3: Cross multiply
    316.53x = 436.68 × 206.19
  4. Step 4: Simplify right side
    316.53x = 90,039.05
  5. Step 5: Solve for x
    x = 90,039.05/316.53
  6. Step 6: Final answer
    x = 284.46

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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.