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Finding the Fourth Proportional to 229.66, 343.76 and 160.98

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Solution

The fourth proportional to 229.66, 343.76 and 160.98 is: 240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.66 : 343.76 = 160.98 : x
  2. Step 2: Convert to fraction form
    229.66/343.76 = 160.98/x
  3. Step 3: Cross multiply
    229.66x = 343.76 × 160.98
  4. Step 4: Simplify right side
    229.66x = 55,338.48
  5. Step 5: Solve for x
    x = 55,338.48/229.66
  6. Step 6: Final answer
    x = 240.96

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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.