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Finding the Fourth Proportional to 316.52, 436.67 and 206.06

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Solution

The fourth proportional to 316.52, 436.67 and 206.06 is: 284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.52 : 436.67 = 206.06 : x
  2. Step 2: Convert to fraction form
    316.52/436.67 = 206.06/x
  3. Step 3: Cross multiply
    316.52x = 436.67 × 206.06
  4. Step 4: Simplify right side
    316.52x = 89,977.78
  5. Step 5: Solve for x
    x = 89,977.78/316.52
  6. Step 6: Final answer
    x = 284.27

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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.