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Finding the Fourth Proportional to 175.43, 262.04 and 174.62

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Solution

The fourth proportional to 175.43, 262.04 and 174.62 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.43 : 262.04 = 174.62 : x
  2. Step 2: Convert to fraction form
    175.43/262.04 = 174.62/x
  3. Step 3: Cross multiply
    175.43x = 262.04 × 174.62
  4. Step 4: Simplify right side
    175.43x = 45,757.42
  5. Step 5: Solve for x
    x = 45,757.42/175.43
  6. Step 6: Final answer
    x = 260.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.