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Finding the Fourth Proportional to 229.10, 315.46 and 192.19

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Solution

The fourth proportional to 229.10, 315.46 and 192.19 is: 264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.10 : 315.46 = 192.19 : x
  2. Step 2: Convert to fraction form
    229.10/315.46 = 192.19/x
  3. Step 3: Cross multiply
    229.10x = 315.46 × 192.19
  4. Step 4: Simplify right side
    229.10x = 60,628.30
  5. Step 5: Solve for x
    x = 60,628.30/229.10
  6. Step 6: Final answer
    x = 264.64

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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.