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Finding the Fourth Proportional to 186.08, 256.75 and 111.42

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Solution

The fourth proportional to 186.08, 256.75 and 111.42 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.08 : 256.75 = 111.42 : x
  2. Step 2: Convert to fraction form
    186.08/256.75 = 111.42/x
  3. Step 3: Cross multiply
    186.08x = 256.75 × 111.42
  4. Step 4: Simplify right side
    186.08x = 28,606.24
  5. Step 5: Solve for x
    x = 28,606.24/186.08
  6. Step 6: Final answer
    x = 153.73

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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.