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Finding the Fourth Proportional to 186.56, 257.36 and 117.60

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Solution

The fourth proportional to 186.56, 257.36 and 117.60 is: 162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.36 = 117.60 : x
  2. Step 2: Convert to fraction form
    186.56/257.36 = 117.60/x
  3. Step 3: Cross multiply
    186.56x = 257.36 × 117.60
  4. Step 4: Simplify right side
    186.56x = 30,265.54
  5. Step 5: Solve for x
    x = 30,265.54/186.56
  6. Step 6: Final answer
    x = 162.23

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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.