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Finding the Fourth Proportional to 186.32, 257.27 and 116.48

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Solution

The fourth proportional to 186.32, 257.27 and 116.48 is: 160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.32 : 257.27 = 116.48 : x
  2. Step 2: Convert to fraction form
    186.32/257.27 = 116.48/x
  3. Step 3: Cross multiply
    186.32x = 257.27 × 116.48
  4. Step 4: Simplify right side
    186.32x = 29,966.81
  5. Step 5: Solve for x
    x = 29,966.81/186.32
  6. Step 6: Final answer
    x = 160.84

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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.