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Finding the Fourth Proportional to 312.81, 431.54 and 206.33

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Solution

The fourth proportional to 312.81, 431.54 and 206.33 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 431.54 = 206.33 : x
  2. Step 2: Convert to fraction form
    312.81/431.54 = 206.33/x
  3. Step 3: Cross multiply
    312.81x = 431.54 × 206.33
  4. Step 4: Simplify right side
    312.81x = 89,038.85
  5. Step 5: Solve for x
    x = 89,038.85/312.81
  6. Step 6: Final answer
    x = 284.64

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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.