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Finding the Fourth Proportional to 358.94, 538.92 and 205.17

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Solution

The fourth proportional to 358.94, 538.92 and 205.17 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.94 : 538.92 = 205.17 : x
  2. Step 2: Convert to fraction form
    358.94/538.92 = 205.17/x
  3. Step 3: Cross multiply
    358.94x = 538.92 × 205.17
  4. Step 4: Simplify right side
    358.94x = 110,570.22
  5. Step 5: Solve for x
    x = 110,570.22/358.94
  6. Step 6: Final answer
    x = 308.05

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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.