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Finding the Fourth Proportional to 229.76, 319.04 and 227.84

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Solution

The fourth proportional to 229.76, 319.04 and 227.84 is: 316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 319.04 = 227.84 : x
  2. Step 2: Convert to fraction form
    229.76/319.04 = 227.84/x
  3. Step 3: Cross multiply
    229.76x = 319.04 × 227.84
  4. Step 4: Simplify right side
    229.76x = 72,690.07
  5. Step 5: Solve for x
    x = 72,690.07/229.76
  6. Step 6: Final answer
    x = 316.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.