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Finding the Fourth Proportional to 289.65, 434.09 and 159.68

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Solution

The fourth proportional to 289.65, 434.09 and 159.68 is: 239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 434.09 = 159.68 : x
  2. Step 2: Convert to fraction form
    289.65/434.09 = 159.68/x
  3. Step 3: Cross multiply
    289.65x = 434.09 × 159.68
  4. Step 4: Simplify right side
    289.65x = 69,315.49
  5. Step 5: Solve for x
    x = 69,315.49/289.65
  6. Step 6: Final answer
    x = 239.31

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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.