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Finding the Fourth Proportional to 358.14, 537.60 and 196.14

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Solution

The fourth proportional to 358.14, 537.60 and 196.14 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 537.60 = 196.14 : x
  2. Step 2: Convert to fraction form
    358.14/537.60 = 196.14/x
  3. Step 3: Cross multiply
    358.14x = 537.60 × 196.14
  4. Step 4: Simplify right side
    358.14x = 105,444.86
  5. Step 5: Solve for x
    x = 105,444.86/358.14
  6. Step 6: Final answer
    x = 294.42

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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.