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Finding the Fourth Proportional to 360.20, 540.33 and 143.72

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Solution

The fourth proportional to 360.20, 540.33 and 143.72 is: 215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 540.33 = 143.72 : x
  2. Step 2: Convert to fraction form
    360.20/540.33 = 143.72/x
  3. Step 3: Cross multiply
    360.20x = 540.33 × 143.72
  4. Step 4: Simplify right side
    360.20x = 77,653.53
  5. Step 5: Solve for x
    x = 77,653.53/360.20
  6. Step 6: Final answer
    x = 215.59

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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.