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Finding the Fourth Proportional to 305.66, 421.81 and 165.78

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Solution

The fourth proportional to 305.66, 421.81 and 165.78 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 421.81 = 165.78 : x
  2. Step 2: Convert to fraction form
    305.66/421.81 = 165.78/x
  3. Step 3: Cross multiply
    305.66x = 421.81 × 165.78
  4. Step 4: Simplify right side
    305.66x = 69,924.72
  5. Step 5: Solve for x
    x = 69,924.72/305.66
  6. Step 6: Final answer
    x = 228.77

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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.