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Finding the Fourth Proportional to 360.07, 539.97 and 116.49

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Solution

The fourth proportional to 360.07, 539.97 and 116.49 is: 174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.07 : 539.97 = 116.49 : x
  2. Step 2: Convert to fraction form
    360.07/539.97 = 116.49/x
  3. Step 3: Cross multiply
    360.07x = 539.97 × 116.49
  4. Step 4: Simplify right side
    360.07x = 62,901.11
  5. Step 5: Solve for x
    x = 62,901.11/360.07
  6. Step 6: Final answer
    x = 174.69

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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.