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Finding the Fourth Proportional to 314.67, 434.26 and 209.96

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Solution

The fourth proportional to 314.67, 434.26 and 209.96 is: 289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.67 : 434.26 = 209.96 : x
  2. Step 2: Convert to fraction form
    314.67/434.26 = 209.96/x
  3. Step 3: Cross multiply
    314.67x = 434.26 × 209.96
  4. Step 4: Simplify right side
    314.67x = 91,174.53
  5. Step 5: Solve for x
    x = 91,174.53/314.67
  6. Step 6: Final answer
    x = 289.75

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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.