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Finding the Fourth Proportional to 173.51, 239.49 and 142.50

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Solution

The fourth proportional to 173.51, 239.49 and 142.50 is: 196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.51 : 239.49 = 142.50 : x
  2. Step 2: Convert to fraction form
    173.51/239.49 = 142.50/x
  3. Step 3: Cross multiply
    173.51x = 239.49 × 142.50
  4. Step 4: Simplify right side
    173.51x = 34,127.33
  5. Step 5: Solve for x
    x = 34,127.33/173.51
  6. Step 6: Final answer
    x = 196.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.