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Finding the Fourth Proportional to 228.62, 315.62 and 205.26

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Solution

The fourth proportional to 228.62, 315.62 and 205.26 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.62 : 315.62 = 205.26 : x
  2. Step 2: Convert to fraction form
    228.62/315.62 = 205.26/x
  3. Step 3: Cross multiply
    228.62x = 315.62 × 205.26
  4. Step 4: Simplify right side
    228.62x = 64,783.13
  5. Step 5: Solve for x
    x = 64,783.13/228.62
  6. Step 6: Final answer
    x = 283.37

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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.