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Finding the Fourth Proportional to 229.02, 315.61 and 155.18

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Solution

The fourth proportional to 229.02, 315.61 and 155.18 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 315.61 = 155.18 : x
  2. Step 2: Convert to fraction form
    229.02/315.61 = 155.18/x
  3. Step 3: Cross multiply
    229.02x = 315.61 × 155.18
  4. Step 4: Simplify right side
    229.02x = 48,976.36
  5. Step 5: Solve for x
    x = 48,976.36/229.02
  6. Step 6: Final answer
    x = 213.85

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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.