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Finding the Fourth Proportional to 187.28, 258.37 and 117.31

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Solution

The fourth proportional to 187.28, 258.37 and 117.31 is: 161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.28 : 258.37 = 117.31 : x
  2. Step 2: Convert to fraction form
    187.28/258.37 = 117.31/x
  3. Step 3: Cross multiply
    187.28x = 258.37 × 117.31
  4. Step 4: Simplify right side
    187.28x = 30,308.45
  5. Step 5: Solve for x
    x = 30,308.45/187.28
  6. Step 6: Final answer
    x = 161.84

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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.