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Finding the Fourth Proportional to 186.36, 256.96 and 137.24

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Solution

The fourth proportional to 186.36, 256.96 and 137.24 is: 189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.36 : 256.96 = 137.24 : x
  2. Step 2: Convert to fraction form
    186.36/256.96 = 137.24/x
  3. Step 3: Cross multiply
    186.36x = 256.96 × 137.24
  4. Step 4: Simplify right side
    186.36x = 35,265.19
  5. Step 5: Solve for x
    x = 35,265.19/186.36
  6. Step 6: Final answer
    x = 189.23

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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.