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Finding the Fourth Proportional to 253.76, 380.57 and 116.74

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Solution

The fourth proportional to 253.76, 380.57 and 116.74 is: 175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 380.57 = 116.74 : x
  2. Step 2: Convert to fraction form
    253.76/380.57 = 116.74/x
  3. Step 3: Cross multiply
    253.76x = 380.57 × 116.74
  4. Step 4: Simplify right side
    253.76x = 44,425.84
  5. Step 5: Solve for x
    x = 44,425.84/253.76
  6. Step 6: Final answer
    x = 175.07

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