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Finding the Fourth Proportional to 185.51, 256.01 and 120.06

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Solution

The fourth proportional to 185.51, 256.01 and 120.06 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.51 : 256.01 = 120.06 : x
  2. Step 2: Convert to fraction form
    185.51/256.01 = 120.06/x
  3. Step 3: Cross multiply
    185.51x = 256.01 × 120.06
  4. Step 4: Simplify right side
    185.51x = 30,735.96
  5. Step 5: Solve for x
    x = 30,735.96/185.51
  6. Step 6: Final answer
    x = 165.69

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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.