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Finding the Fourth Proportional to 175.86, 262.08 and 165.42

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Solution

The fourth proportional to 175.86, 262.08 and 165.42 is: 246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 262.08 = 165.42 : x
  2. Step 2: Convert to fraction form
    175.86/262.08 = 165.42/x
  3. Step 3: Cross multiply
    175.86x = 262.08 × 165.42
  4. Step 4: Simplify right side
    175.86x = 43,353.27
  5. Step 5: Solve for x
    x = 43,353.27/175.86
  6. Step 6: Final answer
    x = 246.52

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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.