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Finding the Fourth Proportional to 229.46, 343.45 and 183.29

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Solution

The fourth proportional to 229.46, 343.45 and 183.29 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.46 : 343.45 = 183.29 : x
  2. Step 2: Convert to fraction form
    229.46/343.45 = 183.29/x
  3. Step 3: Cross multiply
    229.46x = 343.45 × 183.29
  4. Step 4: Simplify right side
    229.46x = 62,950.95
  5. Step 5: Solve for x
    x = 62,950.95/229.46
  6. Step 6: Final answer
    x = 274.34

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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.