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Finding the Fourth Proportional to 173.71, 259.01 and 171.58

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Solution

The fourth proportional to 173.71, 259.01 and 171.58 is: 255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.71 : 259.01 = 171.58 : x
  2. Step 2: Convert to fraction form
    173.71/259.01 = 171.58/x
  3. Step 3: Cross multiply
    173.71x = 259.01 × 171.58
  4. Step 4: Simplify right side
    173.71x = 44,440.94
  5. Step 5: Solve for x
    x = 44,440.94/173.71
  6. Step 6: Final answer
    x = 255.83

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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.