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Finding the Fourth Proportional to 185.76, 256.30 and 120.16

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Solution

The fourth proportional to 185.76, 256.30 and 120.16 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 256.30 = 120.16 : x
  2. Step 2: Convert to fraction form
    185.76/256.30 = 120.16/x
  3. Step 3: Cross multiply
    185.76x = 256.30 × 120.16
  4. Step 4: Simplify right side
    185.76x = 30,797.01
  5. Step 5: Solve for x
    x = 30,797.01/185.76
  6. Step 6: Final answer
    x = 165.79

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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.