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Finding the Fourth Proportional to 159.23, 239.07 and 82.25

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Solution

The fourth proportional to 159.23, 239.07 and 82.25 is: 123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.23 : 239.07 = 82.25 : x
  2. Step 2: Convert to fraction form
    159.23/239.07 = 82.25/x
  3. Step 3: Cross multiply
    159.23x = 239.07 × 82.25
  4. Step 4: Simplify right side
    159.23x = 19,663.51
  5. Step 5: Solve for x
    x = 19,663.51/159.23
  6. Step 6: Final answer
    x = 123.49

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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.