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Finding the Fourth Proportional to 180.72, 250.68 and 175.20

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Solution

The fourth proportional to 180.72, 250.68 and 175.20 is: 243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 250.68 = 175.20 : x
  2. Step 2: Convert to fraction form
    180.72/250.68 = 175.20/x
  3. Step 3: Cross multiply
    180.72x = 250.68 × 175.20
  4. Step 4: Simplify right side
    180.72x = 43,919.14
  5. Step 5: Solve for x
    x = 43,919.14/180.72
  6. Step 6: Final answer
    x = 243.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.