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Finding the Fourth Proportional to 289.10, 433.45 and 158.96

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Solution

The fourth proportional to 289.10, 433.45 and 158.96 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 433.45 = 158.96 : x
  2. Step 2: Convert to fraction form
    289.10/433.45 = 158.96/x
  3. Step 3: Cross multiply
    289.10x = 433.45 × 158.96
  4. Step 4: Simplify right side
    289.10x = 68,902.49
  5. Step 5: Solve for x
    x = 68,902.49/289.10
  6. Step 6: Final answer
    x = 238.33

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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.