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Finding the Fourth Proportional to 173.22, 260.10 and 142.71

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Solution

The fourth proportional to 173.22, 260.10 and 142.71 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.22 : 260.10 = 142.71 : x
  2. Step 2: Convert to fraction form
    173.22/260.10 = 142.71/x
  3. Step 3: Cross multiply
    173.22x = 260.10 × 142.71
  4. Step 4: Simplify right side
    173.22x = 37,118.87
  5. Step 5: Solve for x
    x = 37,118.87/173.22
  6. Step 6: Final answer
    x = 214.29

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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.