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Finding the Fourth Proportional to 188.40, 258.34 and 181.89

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Solution

The fourth proportional to 188.40, 258.34 and 181.89 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.40 : 258.34 = 181.89 : x
  2. Step 2: Convert to fraction form
    188.40/258.34 = 181.89/x
  3. Step 3: Cross multiply
    188.40x = 258.34 × 181.89
  4. Step 4: Simplify right side
    188.40x = 46,989.01
  5. Step 5: Solve for x
    x = 46,989.01/188.40
  6. Step 6: Final answer
    x = 249.41

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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.