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Finding the Fourth Proportional to 171.25, 257.07 and 145.73

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Solution

The fourth proportional to 171.25, 257.07 and 145.73 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.25 : 257.07 = 145.73 : x
  2. Step 2: Convert to fraction form
    171.25/257.07 = 145.73/x
  3. Step 3: Cross multiply
    171.25x = 257.07 × 145.73
  4. Step 4: Simplify right side
    171.25x = 37,464.00
  5. Step 5: Solve for x
    x = 37,464.00/171.25
  6. Step 6: Final answer
    x = 218.77

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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.