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Finding the Fourth Proportional to 310.22, 427.67 and 206.54

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Solution

The fourth proportional to 310.22, 427.67 and 206.54 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.22 : 427.67 = 206.54 : x
  2. Step 2: Convert to fraction form
    310.22/427.67 = 206.54/x
  3. Step 3: Cross multiply
    310.22x = 427.67 × 206.54
  4. Step 4: Simplify right side
    310.22x = 88,330.96
  5. Step 5: Solve for x
    x = 88,330.96/310.22
  6. Step 6: Final answer
    x = 284.74

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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.