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Finding the Fourth Proportional to 253.76, 380.66 and 99.70

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Solution

The fourth proportional to 253.76, 380.66 and 99.70 is: 149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 380.66 = 99.70 : x
  2. Step 2: Convert to fraction form
    253.76/380.66 = 99.70/x
  3. Step 3: Cross multiply
    253.76x = 380.66 × 99.70
  4. Step 4: Simplify right side
    253.76x = 37,949.40
  5. Step 5: Solve for x
    x = 37,949.40/253.76
  6. Step 6: Final answer
    x = 149.55

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