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Finding the Fourth Proportional to 275.53, 380.24 and 165.03

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Solution

The fourth proportional to 275.53, 380.24 and 165.03 is: 227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.53 : 380.24 = 165.03 : x
  2. Step 2: Convert to fraction form
    275.53/380.24 = 165.03/x
  3. Step 3: Cross multiply
    275.53x = 380.24 × 165.03
  4. Step 4: Simplify right side
    275.53x = 62,751.01
  5. Step 5: Solve for x
    x = 62,751.01/275.53
  6. Step 6: Final answer
    x = 227.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.