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Finding the Fourth Proportional to 360.82, 540.55 and 187.23

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Solution

The fourth proportional to 360.82, 540.55 and 187.23 is: 280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 540.55 = 187.23 : x
  2. Step 2: Convert to fraction form
    360.82/540.55 = 187.23/x
  3. Step 3: Cross multiply
    360.82x = 540.55 × 187.23
  4. Step 4: Simplify right side
    360.82x = 101,207.18
  5. Step 5: Solve for x
    x = 101,207.18/360.82
  6. Step 6: Final answer
    x = 280.49

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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.