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Finding the Fourth Proportional to 507.52, 761.30 and 178.46

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Solution

The fourth proportional to 507.52, 761.30 and 178.46 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 761.30 = 178.46 : x
  2. Step 2: Convert to fraction form
    507.52/761.30 = 178.46/x
  3. Step 3: Cross multiply
    507.52x = 761.30 × 178.46
  4. Step 4: Simplify right side
    507.52x = 135,861.60
  5. Step 5: Solve for x
    x = 135,861.60/507.52
  6. Step 6: Final answer
    x = 267.70

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