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Finding the Fourth Proportional to 174.59, 261.97 and 109.74

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Solution

The fourth proportional to 174.59, 261.97 and 109.74 is: 164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.59 : 261.97 = 109.74 : x
  2. Step 2: Convert to fraction form
    174.59/261.97 = 109.74/x
  3. Step 3: Cross multiply
    174.59x = 261.97 × 109.74
  4. Step 4: Simplify right side
    174.59x = 28,748.59
  5. Step 5: Solve for x
    x = 28,748.59/174.59
  6. Step 6: Final answer
    x = 164.66

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