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Finding the Fourth Proportional to 360.34, 540.91 and 144.07

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Solution

The fourth proportional to 360.34, 540.91 and 144.07 is: 216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.34 : 540.91 = 144.07 : x
  2. Step 2: Convert to fraction form
    360.34/540.91 = 144.07/x
  3. Step 3: Cross multiply
    360.34x = 540.91 × 144.07
  4. Step 4: Simplify right side
    360.34x = 77,928.90
  5. Step 5: Solve for x
    x = 77,928.90/360.34
  6. Step 6: Final answer
    x = 216.26

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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.