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Finding the Fourth Proportional to 507.75, 761.63 and 165.75

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Solution

The fourth proportional to 507.75, 761.63 and 165.75 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 761.63 = 165.75 : x
  2. Step 2: Convert to fraction form
    507.75/761.63 = 165.75/x
  3. Step 3: Cross multiply
    507.75x = 761.63 × 165.75
  4. Step 4: Simplify right side
    507.75x = 126,239.34
  5. Step 5: Solve for x
    x = 126,239.34/507.75
  6. Step 6: Final answer
    x = 248.63

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