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Finding the Fourth Proportional to 180.52, 270.33 and 103.35

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Solution

The fourth proportional to 180.52, 270.33 and 103.35 is: 154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 270.33 = 103.35 : x
  2. Step 2: Convert to fraction form
    180.52/270.33 = 103.35/x
  3. Step 3: Cross multiply
    180.52x = 270.33 × 103.35
  4. Step 4: Simplify right side
    180.52x = 27,938.22
  5. Step 5: Solve for x
    x = 27,938.22/180.52
  6. Step 6: Final answer
    x = 154.76

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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.