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Finding the Fourth Proportional to 239.96, 359.78 and 109.99

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Solution

The fourth proportional to 239.96, 359.78 and 109.99 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 359.78 = 109.99 : x
  2. Step 2: Convert to fraction form
    239.96/359.78 = 109.99/x
  3. Step 3: Cross multiply
    239.96x = 359.78 × 109.99
  4. Step 4: Simplify right side
    239.96x = 39,572.10
  5. Step 5: Solve for x
    x = 39,572.10/239.96
  6. Step 6: Final answer
    x = 164.91

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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.