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Finding the Fourth Proportional to 171.58, 257.36 and 137.18

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Solution

The fourth proportional to 171.58, 257.36 and 137.18 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 257.36 = 137.18 : x
  2. Step 2: Convert to fraction form
    171.58/257.36 = 137.18/x
  3. Step 3: Cross multiply
    171.58x = 257.36 × 137.18
  4. Step 4: Simplify right side
    171.58x = 35,304.44
  5. Step 5: Solve for x
    x = 35,304.44/171.58
  6. Step 6: Final answer
    x = 205.77

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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.