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Finding the Fourth Proportional to 360.71, 540.69 and 165.57

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Solution

The fourth proportional to 360.71, 540.69 and 165.57 is: 248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.71 : 540.69 = 165.57 : x
  2. Step 2: Convert to fraction form
    360.71/540.69 = 165.57/x
  3. Step 3: Cross multiply
    360.71x = 540.69 × 165.57
  4. Step 4: Simplify right side
    360.71x = 89,522.04
  5. Step 5: Solve for x
    x = 89,522.04/360.71
  6. Step 6: Final answer
    x = 248.19

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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.