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Finding the Fourth Proportional to 334.66, 501.61 and 129.14

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Solution

The fourth proportional to 334.66, 501.61 and 129.14 is: 193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.66 : 501.61 = 129.14 : x
  2. Step 2: Convert to fraction form
    334.66/501.61 = 129.14/x
  3. Step 3: Cross multiply
    334.66x = 501.61 × 129.14
  4. Step 4: Simplify right side
    334.66x = 64,776.97
  5. Step 5: Solve for x
    x = 64,776.97/334.66
  6. Step 6: Final answer
    x = 193.56

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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.