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Finding the Fourth Proportional to 185.60, 256 and 120.08

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Solution

The fourth proportional to 185.60, 256 and 120.08 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 256 = 120.08 : x
  2. Step 2: Convert to fraction form
    185.60/256 = 120.08/x
  3. Step 3: Cross multiply
    185.60x = 256 × 120.08
  4. Step 4: Simplify right side
    185.60x = 30,740.48
  5. Step 5: Solve for x
    x = 30,740.48/185.60
  6. Step 6: Final answer
    x = 165.63

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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.