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Finding the Fourth Proportional to 566, 849 and 181.25

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Solution

The fourth proportional to 566, 849 and 181.25 is: 271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 849 = 181.25 : x
  2. Step 2: Convert to fraction form
    566/849 = 181.25/x
  3. Step 3: Cross multiply
    566x = 849 × 181.25
  4. Step 4: Simplify right side
    566x = 153,881.25
  5. Step 5: Solve for x
    x = 153,881.25/566
  6. Step 6: Final answer
    x = 271.88

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