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Finding the Fourth Proportional to 345.56, 518 and 129.08

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Solution

The fourth proportional to 345.56, 518 and 129.08 is: 193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.56 : 518 = 129.08 : x
  2. Step 2: Convert to fraction form
    345.56/518 = 129.08/x
  3. Step 3: Cross multiply
    345.56x = 518 × 129.08
  4. Step 4: Simplify right side
    345.56x = 66,863.44
  5. Step 5: Solve for x
    x = 66,863.44/345.56
  6. Step 6: Final answer
    x = 193.49

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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.