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Finding the Fourth Proportional to 334.52, 501.74 and 142.20

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Solution

The fourth proportional to 334.52, 501.74 and 142.20 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.52 : 501.74 = 142.20 : x
  2. Step 2: Convert to fraction form
    334.52/501.74 = 142.20/x
  3. Step 3: Cross multiply
    334.52x = 501.74 × 142.20
  4. Step 4: Simplify right side
    334.52x = 71,347.43
  5. Step 5: Solve for x
    x = 71,347.43/334.52
  6. Step 6: Final answer
    x = 213.28

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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.