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Finding the Fourth Proportional to 185.86, 256.44 and 136.14

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Solution

The fourth proportional to 185.86, 256.44 and 136.14 is: 187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.44 = 136.14 : x
  2. Step 2: Convert to fraction form
    185.86/256.44 = 136.14/x
  3. Step 3: Cross multiply
    185.86x = 256.44 × 136.14
  4. Step 4: Simplify right side
    185.86x = 34,911.74
  5. Step 5: Solve for x
    x = 34,911.74/185.86
  6. Step 6: Final answer
    x = 187.84

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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.