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Finding the Fourth Proportional to 345.47, 518.23 and 114.37

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Solution

The fourth proportional to 345.47, 518.23 and 114.37 is: 171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.47 : 518.23 = 114.37 : x
  2. Step 2: Convert to fraction form
    345.47/518.23 = 114.37/x
  3. Step 3: Cross multiply
    345.47x = 518.23 × 114.37
  4. Step 4: Simplify right side
    345.47x = 59,269.97
  5. Step 5: Solve for x
    x = 59,269.97/345.47
  6. Step 6: Final answer
    x = 171.56

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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.