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Finding the Fourth Proportional to 186.74, 257.70 and 113.12

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Solution

The fourth proportional to 186.74, 257.70 and 113.12 is: 156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.74 : 257.70 = 113.12 : x
  2. Step 2: Convert to fraction form
    186.74/257.70 = 113.12/x
  3. Step 3: Cross multiply
    186.74x = 257.70 × 113.12
  4. Step 4: Simplify right side
    186.74x = 29,149.74
  5. Step 5: Solve for x
    x = 29,149.74/186.74
  6. Step 6: Final answer
    x = 156.10

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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.