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Finding the Fourth Proportional to 334.50, 501.45 and 129.06

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Solution

The fourth proportional to 334.50, 501.45 and 129.06 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.50 : 501.45 = 129.06 : x
  2. Step 2: Convert to fraction form
    334.50/501.45 = 129.06/x
  3. Step 3: Cross multiply
    334.50x = 501.45 × 129.06
  4. Step 4: Simplify right side
    334.50x = 64,717.14
  5. Step 5: Solve for x
    x = 64,717.14/334.50
  6. Step 6: Final answer
    x = 193.47

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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.