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Finding the Fourth Proportional to 186.16, 256.47 and 120.55

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Solution

The fourth proportional to 186.16, 256.47 and 120.55 is: 166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 256.47 = 120.55 : x
  2. Step 2: Convert to fraction form
    186.16/256.47 = 120.55/x
  3. Step 3: Cross multiply
    186.16x = 256.47 × 120.55
  4. Step 4: Simplify right side
    186.16x = 30,917.46
  5. Step 5: Solve for x
    x = 30,917.46/186.16
  6. Step 6: Final answer
    x = 166.08

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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.