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Finding the Fourth Proportional to 174.96, 262.16 and 106.40

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Solution

The fourth proportional to 174.96, 262.16 and 106.40 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 262.16 = 106.40 : x
  2. Step 2: Convert to fraction form
    174.96/262.16 = 106.40/x
  3. Step 3: Cross multiply
    174.96x = 262.16 × 106.40
  4. Step 4: Simplify right side
    174.96x = 27,893.82
  5. Step 5: Solve for x
    x = 27,893.82/174.96
  6. Step 6: Final answer
    x = 159.43

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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.