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Finding the Fourth Proportional to 360.28, 540.57 and 143.89

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Solution

The fourth proportional to 360.28, 540.57 and 143.89 is: 215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 540.57 = 143.89 : x
  2. Step 2: Convert to fraction form
    360.28/540.57 = 143.89/x
  3. Step 3: Cross multiply
    360.28x = 540.57 × 143.89
  4. Step 4: Simplify right side
    360.28x = 77,782.62
  5. Step 5: Solve for x
    x = 77,782.62/360.28
  6. Step 6: Final answer
    x = 215.89

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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.