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Finding the Fourth Proportional to 305.46, 421.53 and 165.57

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Solution

The fourth proportional to 305.46, 421.53 and 165.57 is: 228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 421.53 = 165.57 : x
  2. Step 2: Convert to fraction form
    305.46/421.53 = 165.57/x
  3. Step 3: Cross multiply
    305.46x = 421.53 × 165.57
  4. Step 4: Simplify right side
    305.46x = 69,793.47
  5. Step 5: Solve for x
    x = 69,793.47/305.46
  6. Step 6: Final answer
    x = 228.49

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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.