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Finding the Fourth Proportional to 518.25, 777.23 and 171.51

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Solution

The fourth proportional to 518.25, 777.23 and 171.51 is: 257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 777.23 = 171.51 : x
  2. Step 2: Convert to fraction form
    518.25/777.23 = 171.51/x
  3. Step 3: Cross multiply
    518.25x = 777.23 × 171.51
  4. Step 4: Simplify right side
    518.25x = 133,302.72
  5. Step 5: Solve for x
    x = 133,302.72/518.25
  6. Step 6: Final answer
    x = 257.22

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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.