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Finding the Fourth Proportional to 175.86, 263.82 and 98.78

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Solution

The fourth proportional to 175.86, 263.82 and 98.78 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 263.82 = 98.78 : x
  2. Step 2: Convert to fraction form
    175.86/263.82 = 98.78/x
  3. Step 3: Cross multiply
    175.86x = 263.82 × 98.78
  4. Step 4: Simplify right side
    175.86x = 26,058.82
  5. Step 5: Solve for x
    x = 26,058.82/175.86
  6. Step 6: Final answer
    x = 148.18

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