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Finding the Fourth Proportional to 360.29, 540.14 and 165.23

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Solution

The fourth proportional to 360.29, 540.14 and 165.23 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.29 : 540.14 = 165.23 : x
  2. Step 2: Convert to fraction form
    360.29/540.14 = 165.23/x
  3. Step 3: Cross multiply
    360.29x = 540.14 × 165.23
  4. Step 4: Simplify right side
    360.29x = 89,245.83
  5. Step 5: Solve for x
    x = 89,245.83/360.29
  6. Step 6: Final answer
    x = 247.70

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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.