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Finding the Fourth Proportional to 180.28, 270.47 and 52.03

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Solution

The fourth proportional to 180.28, 270.47 and 52.03 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 270.47 = 52.03 : x
  2. Step 2: Convert to fraction form
    180.28/270.47 = 52.03/x
  3. Step 3: Cross multiply
    180.28x = 270.47 × 52.03
  4. Step 4: Simplify right side
    180.28x = 14,072.29
  5. Step 5: Solve for x
    x = 14,072.29/180.28
  6. Step 6: Final answer
    x = 78.06

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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.