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Finding the Fourth Proportional to 518.10, 777.27 and 171.36

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Solution

The fourth proportional to 518.10, 777.27 and 171.36 is: 257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 777.27 = 171.36 : x
  2. Step 2: Convert to fraction form
    518.10/777.27 = 171.36/x
  3. Step 3: Cross multiply
    518.10x = 777.27 × 171.36
  4. Step 4: Simplify right side
    518.10x = 133,192.99
  5. Step 5: Solve for x
    x = 133,192.99/518.10
  6. Step 6: Final answer
    x = 257.08

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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.