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Finding the Fourth Proportional to 289.34, 434.09 and 167.38

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Solution

The fourth proportional to 289.34, 434.09 and 167.38 is: 251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 434.09 = 167.38 : x
  2. Step 2: Convert to fraction form
    289.34/434.09 = 167.38/x
  3. Step 3: Cross multiply
    289.34x = 434.09 × 167.38
  4. Step 4: Simplify right side
    289.34x = 72,657.98
  5. Step 5: Solve for x
    x = 72,657.98/289.34
  6. Step 6: Final answer
    x = 251.12

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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.