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Finding the Fourth Proportional to 204.85, 282.68 and 116.34

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Solution

The fourth proportional to 204.85, 282.68 and 116.34 is: 160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.85 : 282.68 = 116.34 : x
  2. Step 2: Convert to fraction form
    204.85/282.68 = 116.34/x
  3. Step 3: Cross multiply
    204.85x = 282.68 × 116.34
  4. Step 4: Simplify right side
    204.85x = 32,886.99
  5. Step 5: Solve for x
    x = 32,886.99/204.85
  6. Step 6: Final answer
    x = 160.54

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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.