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Finding the Fourth Proportional to 334.14, 501.24 and 197.34

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Solution

The fourth proportional to 334.14, 501.24 and 197.34 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 501.24 = 197.34 : x
  2. Step 2: Convert to fraction form
    334.14/501.24 = 197.34/x
  3. Step 3: Cross multiply
    334.14x = 501.24 × 197.34
  4. Step 4: Simplify right side
    334.14x = 98,914.70
  5. Step 5: Solve for x
    x = 98,914.70/334.14
  6. Step 6: Final answer
    x = 296.03

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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.