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Finding the Fourth Proportional to 149.76, 224.82 and 102.06

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Solution

The fourth proportional to 149.76, 224.82 and 102.06 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 224.82 = 102.06 : x
  2. Step 2: Convert to fraction form
    149.76/224.82 = 102.06/x
  3. Step 3: Cross multiply
    149.76x = 224.82 × 102.06
  4. Step 4: Simplify right side
    149.76x = 22,945.13
  5. Step 5: Solve for x
    x = 22,945.13/149.76
  6. Step 6: Final answer
    x = 153.21

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