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Finding the Fourth Proportional to 375.20, 562.95 and 180.30

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Solution

The fourth proportional to 375.20, 562.95 and 180.30 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 562.95 = 180.30 : x
  2. Step 2: Convert to fraction form
    375.20/562.95 = 180.30/x
  3. Step 3: Cross multiply
    375.20x = 562.95 × 180.30
  4. Step 4: Simplify right side
    375.20x = 101,499.89
  5. Step 5: Solve for x
    x = 101,499.89/375.20
  6. Step 6: Final answer
    x = 270.53

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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.