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Finding the Fourth Proportional to 316.48, 436.66 and 205.96

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Solution

The fourth proportional to 316.48, 436.66 and 205.96 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.48 : 436.66 = 205.96 : x
  2. Step 2: Convert to fraction form
    316.48/436.66 = 205.96/x
  3. Step 3: Cross multiply
    316.48x = 436.66 × 205.96
  4. Step 4: Simplify right side
    316.48x = 89,934.49
  5. Step 5: Solve for x
    x = 89,934.49/316.48
  6. Step 6: Final answer
    x = 284.17

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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.