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Finding the Fourth Proportional to 334, 501.09 and 141.64

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Solution

The fourth proportional to 334, 501.09 and 141.64 is: 212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 501.09 = 141.64 : x
  2. Step 2: Convert to fraction form
    334/501.09 = 141.64/x
  3. Step 3: Cross multiply
    334x = 501.09 × 141.64
  4. Step 4: Simplify right side
    334x = 70,974.39
  5. Step 5: Solve for x
    x = 70,974.39/334
  6. Step 6: Final answer
    x = 212.50

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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.