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Finding the Fourth Proportional to 570.78, 856.10 and 159.86

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Solution

The fourth proportional to 570.78, 856.10 and 159.86 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 856.10 = 159.86 : x
  2. Step 2: Convert to fraction form
    570.78/856.10 = 159.86/x
  3. Step 3: Cross multiply
    570.78x = 856.10 × 159.86
  4. Step 4: Simplify right side
    570.78x = 136,851.07
  5. Step 5: Solve for x
    x = 136,851.07/570.78
  6. Step 6: Final answer
    x = 239.76

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