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Finding the Fourth Proportional to 252, 377.64 and 114.90

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Solution

The fourth proportional to 252, 377.64 and 114.90 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 377.64 = 114.90 : x
  2. Step 2: Convert to fraction form
    252/377.64 = 114.90/x
  3. Step 3: Cross multiply
    252x = 377.64 × 114.90
  4. Step 4: Simplify right side
    252x = 43,390.84
  5. Step 5: Solve for x
    x = 43,390.84/252
  6. Step 6: Final answer
    x = 172.19

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