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Finding the Fourth Proportional to 316.78, 436.89 and 206.17

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Solution

The fourth proportional to 316.78, 436.89 and 206.17 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 436.89 = 206.17 : x
  2. Step 2: Convert to fraction form
    316.78/436.89 = 206.17/x
  3. Step 3: Cross multiply
    316.78x = 436.89 × 206.17
  4. Step 4: Simplify right side
    316.78x = 90,073.61
  5. Step 5: Solve for x
    x = 90,073.61/316.78
  6. Step 6: Final answer
    x = 284.34

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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.