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Finding the Fourth Proportional to 229.94, 344.71 and 120.02

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Solution

The fourth proportional to 229.94, 344.71 and 120.02 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.94 : 344.71 = 120.02 : x
  2. Step 2: Convert to fraction form
    229.94/344.71 = 120.02/x
  3. Step 3: Cross multiply
    229.94x = 344.71 × 120.02
  4. Step 4: Simplify right side
    229.94x = 41,372.09
  5. Step 5: Solve for x
    x = 41,372.09/229.94
  6. Step 6: Final answer
    x = 179.93

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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.