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Finding the Fourth Proportional to 174.58, 262.19 and 106.22

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Solution

The fourth proportional to 174.58, 262.19 and 106.22 is: 159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 262.19 = 106.22 : x
  2. Step 2: Convert to fraction form
    174.58/262.19 = 106.22/x
  3. Step 3: Cross multiply
    174.58x = 262.19 × 106.22
  4. Step 4: Simplify right side
    174.58x = 27,849.82
  5. Step 5: Solve for x
    x = 27,849.82/174.58
  6. Step 6: Final answer
    x = 159.52

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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.