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Finding the Fourth Proportional to 345.78, 518.70 and 163.23

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Solution

The fourth proportional to 345.78, 518.70 and 163.23 is: 244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 518.70 = 163.23 : x
  2. Step 2: Convert to fraction form
    345.78/518.70 = 163.23/x
  3. Step 3: Cross multiply
    345.78x = 518.70 × 163.23
  4. Step 4: Simplify right side
    345.78x = 84,666.07
  5. Step 5: Solve for x
    x = 84,666.07/345.78
  6. Step 6: Final answer
    x = 244.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.