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Finding the Fourth Proportional to 257.76, 385.96 and 176.76

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Solution

The fourth proportional to 257.76, 385.96 and 176.76 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 385.96 = 176.76 : x
  2. Step 2: Convert to fraction form
    257.76/385.96 = 176.76/x
  3. Step 3: Cross multiply
    257.76x = 385.96 × 176.76
  4. Step 4: Simplify right side
    257.76x = 68,222.29
  5. Step 5: Solve for x
    x = 68,222.29/257.76
  6. Step 6: Final answer
    x = 264.67

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