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Finding the Fourth Proportional to 250.20, 374.86 and 120.02

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Solution

The fourth proportional to 250.20, 374.86 and 120.02 is: 179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.20 : 374.86 = 120.02 : x
  2. Step 2: Convert to fraction form
    250.20/374.86 = 120.02/x
  3. Step 3: Cross multiply
    250.20x = 374.86 × 120.02
  4. Step 4: Simplify right side
    250.20x = 44,988.97
  5. Step 5: Solve for x
    x = 44,988.97/250.20
  6. Step 6: Final answer
    x = 179.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.