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Finding the Fourth Proportional to 185.60, 256.09 and 120.10

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Solution

The fourth proportional to 185.60, 256.09 and 120.10 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 256.09 = 120.10 : x
  2. Step 2: Convert to fraction form
    185.60/256.09 = 120.10/x
  3. Step 3: Cross multiply
    185.60x = 256.09 × 120.10
  4. Step 4: Simplify right side
    185.60x = 30,756.41
  5. Step 5: Solve for x
    x = 30,756.41/185.60
  6. Step 6: Final answer
    x = 165.71

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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.