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Finding the Fourth Proportional to 186.81, 257.80 and 113.13

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Solution

The fourth proportional to 186.81, 257.80 and 113.13 is: 156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.81 : 257.80 = 113.13 : x
  2. Step 2: Convert to fraction form
    186.81/257.80 = 113.13/x
  3. Step 3: Cross multiply
    186.81x = 257.80 × 113.13
  4. Step 4: Simplify right side
    186.81x = 29,164.91
  5. Step 5: Solve for x
    x = 29,164.91/186.81
  6. Step 6: Final answer
    x = 156.12

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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.