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Finding the Fourth Proportional to 174.58, 262.92 and 145.96

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Solution

The fourth proportional to 174.58, 262.92 and 145.96 is: 219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 262.92 = 145.96 : x
  2. Step 2: Convert to fraction form
    174.58/262.92 = 145.96/x
  3. Step 3: Cross multiply
    174.58x = 262.92 × 145.96
  4. Step 4: Simplify right side
    174.58x = 38,375.80
  5. Step 5: Solve for x
    x = 38,375.80/174.58
  6. Step 6: Final answer
    x = 219.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.