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Finding the Fourth Proportional to 173.80, 259.68 and 142.97

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Solution

The fourth proportional to 173.80, 259.68 and 142.97 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.80 : 259.68 = 142.97 : x
  2. Step 2: Convert to fraction form
    173.80/259.68 = 142.97/x
  3. Step 3: Cross multiply
    173.80x = 259.68 × 142.97
  4. Step 4: Simplify right side
    173.80x = 37,126.45
  5. Step 5: Solve for x
    x = 37,126.45/173.80
  6. Step 6: Final answer
    x = 213.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.