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Finding the Fourth Proportional to 310.05, 427.65 and 205.08

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Solution

The fourth proportional to 310.05, 427.65 and 205.08 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.05 : 427.65 = 205.08 : x
  2. Step 2: Convert to fraction form
    310.05/427.65 = 205.08/x
  3. Step 3: Cross multiply
    310.05x = 427.65 × 205.08
  4. Step 4: Simplify right side
    310.05x = 87,702.46
  5. Step 5: Solve for x
    x = 87,702.46/310.05
  6. Step 6: Final answer
    x = 282.87

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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.