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Finding the Fourth Proportional to 310.10, 427.74 and 205.16

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Solution

The fourth proportional to 310.10, 427.74 and 205.16 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 427.74 = 205.16 : x
  2. Step 2: Convert to fraction form
    310.10/427.74 = 205.16/x
  3. Step 3: Cross multiply
    310.10x = 427.74 × 205.16
  4. Step 4: Simplify right side
    310.10x = 87,755.14
  5. Step 5: Solve for x
    x = 87,755.14/310.10
  6. Step 6: Final answer
    x = 282.99

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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.