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Finding the Fourth Proportional to 360.57, 540.55 and 144.01

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Solution

The fourth proportional to 360.57, 540.55 and 144.01 is: 215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.57 : 540.55 = 144.01 : x
  2. Step 2: Convert to fraction form
    360.57/540.55 = 144.01/x
  3. Step 3: Cross multiply
    360.57x = 540.55 × 144.01
  4. Step 4: Simplify right side
    360.57x = 77,844.61
  5. Step 5: Solve for x
    x = 77,844.61/360.57
  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.