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Finding the Fourth Proportional to 257.16, 385.58 and 165.76

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Solution

The fourth proportional to 257.16, 385.58 and 165.76 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 385.58 = 165.76 : x
  2. Step 2: Convert to fraction form
    257.16/385.58 = 165.76/x
  3. Step 3: Cross multiply
    257.16x = 385.58 × 165.76
  4. Step 4: Simplify right side
    257.16x = 63,913.74
  5. Step 5: Solve for x
    x = 63,913.74/257.16
  6. Step 6: Final answer
    x = 248.54

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