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Finding the Fourth Proportional to 360.64, 540.97 and 113.86

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Solution

The fourth proportional to 360.64, 540.97 and 113.86 is: 170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.64 : 540.97 = 113.86 : x
  2. Step 2: Convert to fraction form
    360.64/540.97 = 113.86/x
  3. Step 3: Cross multiply
    360.64x = 540.97 × 113.86
  4. Step 4: Simplify right side
    360.64x = 61,594.84
  5. Step 5: Solve for x
    x = 61,594.84/360.64
  6. Step 6: Final answer
    x = 170.79

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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.