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Finding the Fourth Proportional to 239.54, 359 and 109.50

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Solution

The fourth proportional to 239.54, 359 and 109.50 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.54 : 359 = 109.50 : x
  2. Step 2: Convert to fraction form
    239.54/359 = 109.50/x
  3. Step 3: Cross multiply
    239.54x = 359 × 109.50
  4. Step 4: Simplify right side
    239.54x = 39,310.50
  5. Step 5: Solve for x
    x = 39,310.50/239.54
  6. Step 6: Final answer
    x = 164.11

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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.