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Finding the Fourth Proportional to 275.73, 380.64 and 165.22

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Solution

The fourth proportional to 275.73, 380.64 and 165.22 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.73 : 380.64 = 165.22 : x
  2. Step 2: Convert to fraction form
    275.73/380.64 = 165.22/x
  3. Step 3: Cross multiply
    275.73x = 380.64 × 165.22
  4. Step 4: Simplify right side
    275.73x = 62,889.34
  5. Step 5: Solve for x
    x = 62,889.34/275.73
  6. Step 6: Final answer
    x = 228.08

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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.