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Finding the Fourth Proportional to 358.82, 538.39 and 196.50

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Solution

The fourth proportional to 358.82, 538.39 and 196.50 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 538.39 = 196.50 : x
  2. Step 2: Convert to fraction form
    358.82/538.39 = 196.50/x
  3. Step 3: Cross multiply
    358.82x = 538.39 × 196.50
  4. Step 4: Simplify right side
    358.82x = 105,793.64
  5. Step 5: Solve for x
    x = 105,793.64/358.82
  6. Step 6: Final answer
    x = 294.84

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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.