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Finding the Fourth Proportional to 188.03, 259.42 and 114.37

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Solution

The fourth proportional to 188.03, 259.42 and 114.37 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.03 : 259.42 = 114.37 : x
  2. Step 2: Convert to fraction form
    188.03/259.42 = 114.37/x
  3. Step 3: Cross multiply
    188.03x = 259.42 × 114.37
  4. Step 4: Simplify right side
    188.03x = 29,669.87
  5. Step 5: Solve for x
    x = 29,669.87/188.03
  6. Step 6: Final answer
    x = 157.79

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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.