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Finding the Fourth Proportional to 314.85, 434.25 and 204.36

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Solution

The fourth proportional to 314.85, 434.25 and 204.36 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.85 : 434.25 = 204.36 : x
  2. Step 2: Convert to fraction form
    314.85/434.25 = 204.36/x
  3. Step 3: Cross multiply
    314.85x = 434.25 × 204.36
  4. Step 4: Simplify right side
    314.85x = 88,743.33
  5. Step 5: Solve for x
    x = 88,743.33/314.85
  6. Step 6: Final answer
    x = 281.86

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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.