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Finding the Fourth Proportional to 250.54, 375.66 and 120.43

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Solution

The fourth proportional to 250.54, 375.66 and 120.43 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.54 : 375.66 = 120.43 : x
  2. Step 2: Convert to fraction form
    250.54/375.66 = 120.43/x
  3. Step 3: Cross multiply
    250.54x = 375.66 × 120.43
  4. Step 4: Simplify right side
    250.54x = 45,240.50
  5. Step 5: Solve for x
    x = 45,240.50/250.54
  6. Step 6: Final answer
    x = 180.57

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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.