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Finding the Fourth Proportional to 174.93, 239.98 and 164.46

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Solution

The fourth proportional to 174.93, 239.98 and 164.46 is: 225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.93 : 239.98 = 164.46 : x
  2. Step 2: Convert to fraction form
    174.93/239.98 = 164.46/x
  3. Step 3: Cross multiply
    174.93x = 239.98 × 164.46
  4. Step 4: Simplify right side
    174.93x = 39,467.11
  5. Step 5: Solve for x
    x = 39,467.11/174.93
  6. Step 6: Final answer
    x = 225.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.