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Finding the Fourth Proportional to 239.59, 359.01 and 162.28

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Solution

The fourth proportional to 239.59, 359.01 and 162.28 is: 243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.59 : 359.01 = 162.28 : x
  2. Step 2: Convert to fraction form
    239.59/359.01 = 162.28/x
  3. Step 3: Cross multiply
    239.59x = 359.01 × 162.28
  4. Step 4: Simplify right side
    239.59x = 58,260.14
  5. Step 5: Solve for x
    x = 58,260.14/239.59
  6. Step 6: Final answer
    x = 243.17

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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.