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Finding the Fourth Proportional to 174.45, 261.23 and 140.03

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Solution

The fourth proportional to 174.45, 261.23 and 140.03 is: 209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 261.23 = 140.03 : x
  2. Step 2: Convert to fraction form
    174.45/261.23 = 140.03/x
  3. Step 3: Cross multiply
    174.45x = 261.23 × 140.03
  4. Step 4: Simplify right side
    174.45x = 36,579.01
  5. Step 5: Solve for x
    x = 36,579.01/174.45
  6. Step 6: Final answer
    x = 209.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.