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Finding the Fourth Proportional to 229.05, 315.83 and 155.41

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Solution

The fourth proportional to 229.05, 315.83 and 155.41 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.05 : 315.83 = 155.41 : x
  2. Step 2: Convert to fraction form
    229.05/315.83 = 155.41/x
  3. Step 3: Cross multiply
    229.05x = 315.83 × 155.41
  4. Step 4: Simplify right side
    229.05x = 49,082.74
  5. Step 5: Solve for x
    x = 49,082.74/229.05
  6. Step 6: Final answer
    x = 214.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.