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Finding the Fourth Proportional to 174.60, 262.44 and 134.10

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Solution

The fourth proportional to 174.60, 262.44 and 134.10 is: 201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.60 : 262.44 = 134.10 : x
  2. Step 2: Convert to fraction form
    174.60/262.44 = 134.10/x
  3. Step 3: Cross multiply
    174.60x = 262.44 × 134.10
  4. Step 4: Simplify right side
    174.60x = 35,193.20
  5. Step 5: Solve for x
    x = 35,193.20/174.60
  6. Step 6: Final answer
    x = 201.56

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Why These Related Problems?

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