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Finding the Fourth Proportional to 186.28, 257 and 116.29

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Solution

The fourth proportional to 186.28, 257 and 116.29 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 257 = 116.29 : x
  2. Step 2: Convert to fraction form
    186.28/257 = 116.29/x
  3. Step 3: Cross multiply
    186.28x = 257 × 116.29
  4. Step 4: Simplify right side
    186.28x = 29,886.53
  5. Step 5: Solve for x
    x = 29,886.53/186.28
  6. Step 6: Final answer
    x = 160.44

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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.