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Finding the Fourth Proportional to 305.81, 422.00 and 165.92

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Solution

The fourth proportional to 305.81, 422.00 and 165.92 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.81 : 422.00 = 165.92 : x
  2. Step 2: Convert to fraction form
    305.81/422.00 = 165.92/x
  3. Step 3: Cross multiply
    305.81x = 422.00 × 165.92
  4. Step 4: Simplify right side
    305.81x = 70,017.81
  5. Step 5: Solve for x
    x = 70,017.81/305.81
  6. Step 6: Final answer
    x = 228.96

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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.