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Finding the Fourth Proportional to 289.67, 434.91 and 168.17

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Solution

The fourth proportional to 289.67, 434.91 and 168.17 is: 252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.67 : 434.91 = 168.17 : x
  2. Step 2: Convert to fraction form
    289.67/434.91 = 168.17/x
  3. Step 3: Cross multiply
    289.67x = 434.91 × 168.17
  4. Step 4: Simplify right side
    289.67x = 73,138.81
  5. Step 5: Solve for x
    x = 73,138.81/289.67
  6. Step 6: Final answer
    x = 252.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.