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Finding the Fourth Proportional to 345.31, 518.07 and 114.20

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Solution

The fourth proportional to 345.31, 518.07 and 114.20 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.31 : 518.07 = 114.20 : x
  2. Step 2: Convert to fraction form
    345.31/518.07 = 114.20/x
  3. Step 3: Cross multiply
    345.31x = 518.07 × 114.20
  4. Step 4: Simplify right side
    345.31x = 59,163.59
  5. Step 5: Solve for x
    x = 59,163.59/345.31
  6. Step 6: Final answer
    x = 171.34

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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.