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Finding the Fourth Proportional to 174.58, 261.78 and 102.52

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Solution

The fourth proportional to 174.58, 261.78 and 102.52 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 261.78 = 102.52 : x
  2. Step 2: Convert to fraction form
    174.58/261.78 = 102.52/x
  3. Step 3: Cross multiply
    174.58x = 261.78 × 102.52
  4. Step 4: Simplify right side
    174.58x = 26,837.69
  5. Step 5: Solve for x
    x = 26,837.69/174.58
  6. Step 6: Final answer
    x = 153.73

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