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Finding the Fourth Proportional to 228.56, 315.72 and 209.36

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Solution

The fourth proportional to 228.56, 315.72 and 209.36 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.56 : 315.72 = 209.36 : x
  2. Step 2: Convert to fraction form
    228.56/315.72 = 209.36/x
  3. Step 3: Cross multiply
    228.56x = 315.72 × 209.36
  4. Step 4: Simplify right side
    228.56x = 66,099.14
  5. Step 5: Solve for x
    x = 66,099.14/228.56
  6. Step 6: Final answer
    x = 289.20

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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.