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Finding the Fourth Proportional to 186.16, 256.90 and 103.27

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Solution

The fourth proportional to 186.16, 256.90 and 103.27 is: 142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 256.90 = 103.27 : x
  2. Step 2: Convert to fraction form
    186.16/256.90 = 103.27/x
  3. Step 3: Cross multiply
    186.16x = 256.90 × 103.27
  4. Step 4: Simplify right side
    186.16x = 26,530.06
  5. Step 5: Solve for x
    x = 26,530.06/186.16
  6. Step 6: Final answer
    x = 142.51

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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.