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Finding the Fourth Proportional to 229.60, 344.24 and 164.64

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Solution

The fourth proportional to 229.60, 344.24 and 164.64 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 344.24 = 164.64 : x
  2. Step 2: Convert to fraction form
    229.60/344.24 = 164.64/x
  3. Step 3: Cross multiply
    229.60x = 344.24 × 164.64
  4. Step 4: Simplify right side
    229.60x = 56,675.67
  5. Step 5: Solve for x
    x = 56,675.67/229.60
  6. Step 6: Final answer
    x = 246.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.