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Finding the Fourth Proportional to 171.65, 257.48 and 63.47

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Solution

The fourth proportional to 171.65, 257.48 and 63.47 is: 95.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.65 : 257.48 = 63.47 : x
  2. Step 2: Convert to fraction form
    171.65/257.48 = 63.47/x
  3. Step 3: Cross multiply
    171.65x = 257.48 × 63.47
  4. Step 4: Simplify right side
    171.65x = 16,342.26
  5. Step 5: Solve for x
    x = 16,342.26/171.65
  6. Step 6: Final answer
    x = 95.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.