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Finding the Fourth Proportional to 252.68, 379.29 and 205.16

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Solution

The fourth proportional to 252.68, 379.29 and 205.16 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.68 : 379.29 = 205.16 : x
  2. Step 2: Convert to fraction form
    252.68/379.29 = 205.16/x
  3. Step 3: Cross multiply
    252.68x = 379.29 × 205.16
  4. Step 4: Simplify right side
    252.68x = 77,815.14
  5. Step 5: Solve for x
    x = 77,815.14/252.68
  6. Step 6: Final answer
    x = 307.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.