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Finding the Fourth Proportional to 334.14, 501.06 and 197.24

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Solution

The fourth proportional to 334.14, 501.06 and 197.24 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 501.06 = 197.24 : x
  2. Step 2: Convert to fraction form
    334.14/501.06 = 197.24/x
  3. Step 3: Cross multiply
    334.14x = 501.06 × 197.24
  4. Step 4: Simplify right side
    334.14x = 98,826.57
  5. Step 5: Solve for x
    x = 98,826.57/334.14
  6. Step 6: Final answer
    x = 295.76

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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.