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Finding the Fourth Proportional to 507.42, 761.29 and 165.66

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Solution

The fourth proportional to 507.42, 761.29 and 165.66 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 761.29 = 165.66 : x
  2. Step 2: Convert to fraction form
    507.42/761.29 = 165.66/x
  3. Step 3: Cross multiply
    507.42x = 761.29 × 165.66
  4. Step 4: Simplify right side
    507.42x = 126,115.30
  5. Step 5: Solve for x
    x = 126,115.30/507.42
  6. Step 6: Final answer
    x = 248.54

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