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Finding the Fourth Proportional to 334.19, 501.81 and 141.95

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Solution

The fourth proportional to 334.19, 501.81 and 141.95 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.19 : 501.81 = 141.95 : x
  2. Step 2: Convert to fraction form
    334.19/501.81 = 141.95/x
  3. Step 3: Cross multiply
    334.19x = 501.81 × 141.95
  4. Step 4: Simplify right side
    334.19x = 71,229.42
  5. Step 5: Solve for x
    x = 71,229.42/334.19
  6. Step 6: Final answer
    x = 213.14

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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.