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Finding the Fourth Proportional to 174.04, 239.76 and 164.32

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Solution

The fourth proportional to 174.04, 239.76 and 164.32 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.04 : 239.76 = 164.32 : x
  2. Step 2: Convert to fraction form
    174.04/239.76 = 164.32/x
  3. Step 3: Cross multiply
    174.04x = 239.76 × 164.32
  4. Step 4: Simplify right side
    174.04x = 39,397.36
  5. Step 5: Solve for x
    x = 39,397.36/174.04
  6. Step 6: Final answer
    x = 226.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.