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Finding the Fourth Proportional to 188.02, 258.54 and 168.23

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Solution

The fourth proportional to 188.02, 258.54 and 168.23 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.02 : 258.54 = 168.23 : x
  2. Step 2: Convert to fraction form
    188.02/258.54 = 168.23/x
  3. Step 3: Cross multiply
    188.02x = 258.54 × 168.23
  4. Step 4: Simplify right side
    188.02x = 43,493.69
  5. Step 5: Solve for x
    x = 43,493.69/188.02
  6. Step 6: Final answer
    x = 231.32

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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.