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Finding the Fourth Proportional to 253.76, 380.61 and 99.80

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Solution

The fourth proportional to 253.76, 380.61 and 99.80 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 380.61 = 99.80 : x
  2. Step 2: Convert to fraction form
    253.76/380.61 = 99.80/x
  3. Step 3: Cross multiply
    253.76x = 380.61 × 99.80
  4. Step 4: Simplify right side
    253.76x = 37,984.88
  5. Step 5: Solve for x
    x = 37,984.88/253.76
  6. Step 6: Final answer
    x = 149.69

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