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Finding the Fourth Proportional to 305.44, 421.50 and 165.56

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Solution

The fourth proportional to 305.44, 421.50 and 165.56 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 421.50 = 165.56 : x
  2. Step 2: Convert to fraction form
    305.44/421.50 = 165.56/x
  3. Step 3: Cross multiply
    305.44x = 421.50 × 165.56
  4. Step 4: Simplify right side
    305.44x = 69,781.43
  5. Step 5: Solve for x
    x = 69,781.43/305.44
  6. Step 6: Final answer
    x = 228.46

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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.