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Finding the Fourth Proportional to 229.05, 315.84 and 155.22

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Solution

The fourth proportional to 229.05, 315.84 and 155.22 is: 214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.05 : 315.84 = 155.22 : x
  2. Step 2: Convert to fraction form
    229.05/315.84 = 155.22/x
  3. Step 3: Cross multiply
    229.05x = 315.84 × 155.22
  4. Step 4: Simplify right side
    229.05x = 49,024.68
  5. Step 5: Solve for x
    x = 49,024.68/229.05
  6. Step 6: Final answer
    x = 214.03

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Why These Related Problems?

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