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Finding the Fourth Proportional to 228.80, 315.63 and 162.29

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Solution

The fourth proportional to 228.80, 315.63 and 162.29 is: 223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.80 : 315.63 = 162.29 : x
  2. Step 2: Convert to fraction form
    228.80/315.63 = 162.29/x
  3. Step 3: Cross multiply
    228.80x = 315.63 × 162.29
  4. Step 4: Simplify right side
    228.80x = 51,224.38
  5. Step 5: Solve for x
    x = 51,224.38/228.80
  6. Step 6: Final answer
    x = 223.88

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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.