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Finding the Fourth Proportional to 229.12, 315.96 and 160

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Solution

The fourth proportional to 229.12, 315.96 and 160 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.12 : 315.96 = 160 : x
  2. Step 2: Convert to fraction form
    229.12/315.96 = 160/x
  3. Step 3: Cross multiply
    229.12x = 315.96 × 160
  4. Step 4: Simplify right side
    229.12x = 50,553.60
  5. Step 5: Solve for x
    x = 50,553.60/229.12
  6. Step 6: Final answer
    x = 220.64

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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.