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Finding the Fourth Proportional to 305.54, 421.64 and 165.66

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Solution

The fourth proportional to 305.54, 421.64 and 165.66 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 421.64 = 165.66 : x
  2. Step 2: Convert to fraction form
    305.54/421.64 = 165.66/x
  3. Step 3: Cross multiply
    305.54x = 421.64 × 165.66
  4. Step 4: Simplify right side
    305.54x = 69,846.77
  5. Step 5: Solve for x
    x = 69,846.77/305.54
  6. Step 6: Final answer
    x = 228.60

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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.