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Finding the Fourth Proportional to 186.90, 257.92 and 113.26

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Solution

The fourth proportional to 186.90, 257.92 and 113.26 is: 156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 257.92 = 113.26 : x
  2. Step 2: Convert to fraction form
    186.90/257.92 = 113.26/x
  3. Step 3: Cross multiply
    186.90x = 257.92 × 113.26
  4. Step 4: Simplify right side
    186.90x = 29,212.02
  5. Step 5: Solve for x
    x = 29,212.02/186.90
  6. Step 6: Final answer
    x = 156.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.